10120728628374 has 32 divisors (see below), whose sum is σ = 24912562778880. Its totient is φ = 2669203154592.

The previous prime is 10120728628357. The next prime is 10120728628391. The reversal of 10120728628374 is 47382682702101.

It is a happy number.

10120728628374 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10120728628357) and next prime (10120728628391).

It is a Curzon number.

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, 9268065964 + ... + 9268067055.

It is an arithmetic number, because the mean of its divisors is an integer number (778517586840).

Almost surely, 2^{10120728628374} is an apocalyptic number.

10120728628374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10120728628374 is an abundant number, since it is smaller than the sum of its proper divisors (14791834150506).

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

10120728628374 is a wasteful number, since it uses less digits than its factorization.

10120728628374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18536133044.

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 10120728628374 in words is "ten trillion, one hundred twenty billion, seven hundred twenty-eight million, six hundred twenty-eight thousand, three hundred seventy-four".