15934397938560 has 768 divisors, whose sum is σ = 57770536824000. Its totient is φ = 4042518036480.

The previous prime is 15934397938493. The next prime is 15934397938567. The reversal of 15934397938560 is 6583979343951.

15934397938560 is a `hidden beast` number, since 1 + 5 + 93 + 4 + 39 + 79 + 385 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15934397938567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10286892666 + ... + 10286894214.

Almost surely, 2^{15934397938560} is an apocalyptic number.

15934397938560 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 15934397938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28885268412000).

15934397938560 is an abundant number, since it is smaller than the sum of its proper divisors (41836138885440).

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

15934397938560 is a wasteful number, since it uses less digits than its factorization.

15934397938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 661348800, while the sum is 72.

The spelling of 15934397938560 in words is "fifteen trillion, nine hundred thirty-four billion, three hundred ninety-seven million, nine hundred thirty-eight thousand, five hundred sixty".