15161501015640 has 768 divisors, whose sum is σ = 61286338713600. Its totient is φ = 3170991587328.

The previous prime is 15161501015627. The next prime is 15161501015693. The reversal of 15161501015640 is 4651010516151.

15161501015640 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 1 + 5 + 0 + 1 + 0 + 1 + 5 + 640 = 666.

It is a super-2 number, since 2×15161501015640² (a number of 27 digits) contains 22 as substring.

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 = 15161501015595 and 15161501015604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2578922221 + ... + 2578928099.

It is an arithmetic number, because the mean of its divisors is an integer number (79799920200).

Almost surely, 2^{15161501015640} is an apocalyptic number.

15161501015640 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 15161501015640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30643169356800).

15161501015640 is an abundant number, since it is smaller than the sum of its proper divisors (46124837697960).

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

15161501015640 is a wasteful number, since it uses less digits than its factorization.

15161501015640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7584 (or 7577 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The spelling of 15161501015640 in words is "fifteen trillion, one hundred sixty-one billion, five hundred one million, fifteen thousand, six hundred forty".