10974620160 has 360 divisors, whose sum is σ = 44218164276. Its totient is φ = 2508226560.

The previous prime is 10974620117. The next prime is 10974620213. The reversal of 10974620160 is 6102647901.

10974620160 is a `hidden beast` number, since 10 + 9 + 7 + 4 + 620 + 16 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9429186816 + 1545433344 = 97104^2 + 39312^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1124100 + ... + 1133820.

Almost surely, 2^10974620160 is an apocalyptic number.

10974620160 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 10974620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22109082138).

10974620160 is an abundant number, since it is smaller than the sum of its proper divisors (33243544116).

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

10974620160 is an equidigital number, since it uses as much as digits as its factorization.

10974620160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9764 (or 9738 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10974620160 in words is "ten billion, nine hundred seventy-four million, six hundred twenty thousand, one hundred sixty".