15152152513680 has 3200 divisors, whose sum is σ = 70871213952000. Its totient is φ = 2970743537664.

The previous prime is 15152152513669. The next prime is 15152152513709. The reversal of 15152152513680 is 8631525125151.

15152152513680 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 2 + 1 + 52 + 513 + 6 + 80 = 666.

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 639 ways as a sum of consecutive naturals, for example, 53541174819 + ... + 53541175101.

It is an arithmetic number, because the mean of its divisors is an integer number (22147254360).

Almost surely, 2^{15152152513680} is an apocalyptic number.

15152152513680 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 15152152513680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35435606976000).

15152152513680 is an abundant number, since it is smaller than the sum of its proper divisors (55719061438320).

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

15152152513680 is a wasteful number, since it uses less digits than its factorization.

15152152513680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The spelling of 15152152513680 in words is "fifteen trillion, one hundred fifty-two billion, one hundred fifty-two million, five hundred thirteen thousand, six hundred eighty".