1538066880 has 560 divisors, whose sum is σ = 6417259200. Its totient is φ = 349526016.

The previous prime is 1538066851. The next prime is 1538066909. The reversal of 1538066880 is 886608351.

It is an interprime number because it is at equal distance from previous prime (1538066851) and next prime (1538066909).

It is a tau number, because it is divible by the number of its divisors (560).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8890474 + ... + 8890646.

Almost surely, 2^1538066880 is an apocalyptic number.

1538066880 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 1538066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208629600).

1538066880 is an abundant number, since it is smaller than the sum of its proper divisors (4879192320).

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

1538066880 is an equidigital number, since it uses as much as digits as its factorization.

1538066880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1538066880 is about 39218.1957769605. The cubic root of 1538066880 is about 1154.3169515076.

The spelling of 1538066880 in words is "one billion, five hundred thirty-eight million, sixty-six thousand, eight hundred eighty".