15106314065520 has 160 divisors (see below), whose sum is σ = 46973636352000. Its totient is φ = 4015975265280.

The previous prime is 15106314065503. The next prime is 15106314065587. The reversal of 15106314065520 is 2556041360151.

It is a super-2 number, since 2×15106314065520² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112627137 + ... + 112761183.

It is an arithmetic number, because the mean of its divisors is an integer number (293585227200).

Almost surely, 2^{15106314065520} is an apocalyptic number.

15106314065520 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 15106314065520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23486818176000).

15106314065520 is an abundant number, since it is smaller than the sum of its proper divisors (31867322286480).

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

15106314065520 is a wasteful number, since it uses less digits than its factorization.

15106314065520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135503 (or 135497 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 15106314065520 in words is "fifteen trillion, one hundred six billion, three hundred fourteen million, sixty-five thousand, five hundred twenty".