1157758560 has 288 divisors, whose sum is σ = 4541951232. Its totient is φ = 263070720.

The previous prime is 1157758541. The next prime is 1157758571. The reversal of 1157758560 is 658577511.

1157758560 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 7 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3336307 + ... + 3336653.

It is an arithmetic number, because the mean of its divisors is an integer number (15770664).

Almost surely, 2^1157758560 is an apocalyptic number.

1157758560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157758560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270975616).

1157758560 is an abundant number, since it is smaller than the sum of its proper divisors (3384192672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1157758560 is a wasteful number, since it uses less digits than its factorization.

1157758560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

The square root of 1157758560 is about 34025.8513486437. The cubic root of 1157758560 is about 1050.0403793995.

The spelling of 1157758560 in words is "one billion, one hundred fifty-seven million, seven hundred fifty-eight thousand, five hundred sixty".