15561675360 has 576 divisors, whose sum is σ = 66572513280. Its totient is φ = 3215831040.

The previous prime is 15561675343. The next prime is 15561675397. The reversal of 15561675360 is 6357616551.

15561675360 is a `hidden beast` number, since 1 + 5 + 56 + 1 + 67 + 536 + 0 = 666.

It is a super-2 number, since 2×15561675360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32487601 + ... + 32488079.

It is an arithmetic number, because the mean of its divisors is an integer number (115577280).

Almost surely, 2^15561675360 is an apocalyptic number.

15561675360 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 15561675360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33286256640).

15561675360 is an abundant number, since it is smaller than the sum of its proper divisors (51010837920).

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

15561675360 is a wasteful number, since it uses less digits than its factorization.

15561675360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 15561675360 in words is "fifteen billion, five hundred sixty-one million, six hundred seventy-five thousand, three hundred sixty".