10120762080 has 960 divisors, whose sum is σ = 43276197888. Its totient is φ = 2194698240.

The previous prime is 10120762021. The next prime is 10120762097. The reversal of 10120762080 is 8026702101.

10120762080 is a `hidden beast` number, since 10 + 1 + 20 + 7 + 620 + 8 + 0 = 666.

10120762080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 79690977 + ... + 79691103.

Almost surely, 2^10120762080 is an apocalyptic number.

10120762080 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 10120762080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21638098944).

10120762080 is an abundant number, since it is smaller than the sum of its proper divisors (33155435808).

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

10120762080 is a wasteful number, since it uses less digits than its factorization.

10120762080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 10120762080 in words is "ten billion, one hundred twenty million, seven hundred sixty-two thousand, eighty".