10904737052160 has 1120 divisors, whose sum is σ = 46247803379712. Its totient is φ = 2412018155520.

The previous prime is 10904737052107. The next prime is 10904737052201. The reversal of 10904737052160 is 6125073740901.

10904737052160 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 473 + 70 + 52 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 404960617 + ... + 404987543.

Almost surely, 2^{10904737052160} is an apocalyptic number.

10904737052160 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 10904737052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23123901689856).

10904737052160 is an abundant number, since it is smaller than the sum of its proper divisors (35343066327552).

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

10904737052160 is an frugal number, since it uses more digits than its factorization.

10904737052160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27006 (or 26975 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10904737052160 in words is "ten trillion, nine hundred four billion, seven hundred thirty-seven million, fifty-two thousand, one hundred sixty".