15152071680 has 352 divisors, whose sum is σ = 55121616000. Its totient is φ = 3945037824.

The previous prime is 15152071673. The next prime is 15152071681. The reversal of 15152071680 is 8617025151.

15152071680 is a `hidden beast` number, since 1 + 5 + 1 + 520 + 71 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (15152071681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5943046 + ... + 5945594.

It is an arithmetic number, because the mean of its divisors is an integer number (156595500).

Almost surely, 2^15152071680 is an apocalyptic number.

15152071680 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 15152071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27560808000).

15152071680 is an abundant number, since it is smaller than the sum of its proper divisors (39969544320).

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

15152071680 is a wasteful number, since it uses less digits than its factorization.

15152071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 15152071680 in words is "fifteen billion, one hundred fifty-two million, seventy-one thousand, six hundred eighty".