15151152515040 has 288 divisors, whose sum is σ = 52231402038816. Its totient is φ = 3999064780800.

The previous prime is 15151152515039. The next prime is 15151152515099. The reversal of 15151152515040 is 4051525115151.

15151152515040 is a `hidden beast` number, since 1 + 5 + 1 + 51 + 1 + 52 + 51 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 15151152514986 and 15151152515004.

It is a congruent number.

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, 528950959 + ... + 528979601.

It is an arithmetic number, because the mean of its divisors is an integer number (181359034857).

Almost surely, 2^{15151152515040} is an apocalyptic number.

15151152515040 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 15151152515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26115701019408).

15151152515040 is an abundant number, since it is smaller than the sum of its proper divisors (37080249523776).

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

15151152515040 is a wasteful number, since it uses less digits than its factorization.

15151152515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32402 (or 32391 counting only the distinct ones).

The product of its (nonzero) digits is 25000, while the sum is 36.

The spelling of 15151152515040 in words is "fifteen trillion, one hundred fifty-one billion, one hundred fifty-two million, five hundred fifteen thousand, forty".