15130492513920 has 384 divisors, whose sum is σ = 60239845635840. Its totient is φ = 3427791962112.

The previous prime is 15130492513897. The next prime is 15130492513943. The reversal of 15130492513920 is 2931529403151.

15130492513920 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 0 + 4 + 9 + 251 + 392 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (15130492513897) and next prime (15130492513943).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×15130492513920² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2895717 + ... + 6216603.

It is an arithmetic number, because the mean of its divisors is an integer number (156874598010).

Almost surely, 2^{15130492513920} is an apocalyptic number.

15130492513920 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 15130492513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30119922817920).

15130492513920 is an abundant number, since it is smaller than the sum of its proper divisors (45109353121920).

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

15130492513920 is a wasteful number, since it uses less digits than its factorization.

15130492513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321032 (or 3321017 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 15130492513920 in words is "fifteen trillion, one hundred thirty billion, four hundred ninety-two million, five hundred thirteen thousand, nine hundred twenty".