10077073056 has 96 divisors (see below), whose sum is σ = 29496035520. Its totient is φ = 3347073792.

The previous prime is 10077073003. The next prime is 10077073067. The reversal of 10077073056 is 65037077001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10077073056² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10077073056.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223906 + ... + 265118.

It is an arithmetic number, because the mean of its divisors is an integer number (307250370).

Almost surely, 2^10077073056 is an apocalyptic number.

10077073056 is a gapful number since it is divisible by the number (16) 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 10077073056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14748017760).

10077073056 is an abundant number, since it is smaller than the sum of its proper divisors (19418962464).

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

10077073056 is a wasteful number, since it uses less digits than its factorization.

10077073056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41515 (or 41501 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The spelling of 10077073056 in words is "ten billion, seventy-seven million, seventy-three thousand, fifty-six".