10920075264 has 280 divisors, whose sum is σ = 37299765888. Its totient is φ = 3118694400.

The previous prime is 10920075233. The next prime is 10920075281. The reversal of 10920075264 is 46257002901.

10920075264 is a `hidden beast` number, since 109 + 20 + 0 + 7 + 526 + 4 = 666.

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 19 ways as a sum of consecutive naturals, for example, 4643689 + ... + 4646039.

Almost surely, 2^10920075264 is an apocalyptic number.

10920075264 is a gapful number since it is divisible by the number (14) 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 10920075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18649882944).

10920075264 is an abundant number, since it is smaller than the sum of its proper divisors (26379690624).

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

10920075264 is an frugal number, since it uses more digits than its factorization.

10920075264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10920075264 in words is "ten billion, nine hundred twenty million, seventy-five thousand, two hundred sixty-four".