5157644544 has 540 divisors, whose sum is σ = 17809553916. Its totient is φ = 1475076096.

The previous prime is 5157644537. The next prime is 5157644587. The reversal of 5157644544 is 4454467515.

5157644544 is a `hidden beast` number, since 51 + 57 + 6 + 4 + 4 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2163366144 + 2994278400 = 46512^2 + 54720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5157644544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 97314022 + ... + 97314074.

Almost surely, 2^5157644544 is an apocalyptic number.

5157644544 is a gapful number since it is divisible by the number (54) 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 5157644544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8904776958).

5157644544 is an abundant number, since it is smaller than the sum of its proper divisors (12651909372).

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

5157644544 is a wasteful number, since it uses less digits than its factorization.

5157644544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 90 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 45.

The square root of 5157644544 is about 71816.7427832814. The cubic root of 5157644544 is about 1727.7615411690.

The spelling of 5157644544 in words is "five billion, one hundred fifty-seven million, six hundred forty-four thousand, five hundred forty-four".