10120574976 has 192 divisors, whose sum is σ = 28304640000. Its totient is φ = 3211493376.

The previous prime is 10120574953. The next prime is 10120574983. The reversal of 10120574976 is 67947502101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 14075545 + ... + 14076263.

It is an arithmetic number, because the mean of its divisors is an integer number (147420000).

Almost surely, 2^10120574976 is an apocalyptic number.

10120574976 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 10120574976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320000).

10120574976 is an abundant number, since it is smaller than the sum of its proper divisors (18184065024).

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

10120574976 is an equidigital number, since it uses as much as digits as its factorization.

10120574976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 10120574976 in words is "ten billion, one hundred twenty million, five hundred seventy-four thousand, nine hundred seventy-six".