10002165375420 has 96 divisors (see below), whose sum is σ = 31118486414400. Its totient is φ = 2667189364992.

The previous prime is 10002165375353. The next prime is 10002165375439. The reversal of 10002165375420 is 2457356120001.

10002165375420 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 165 + 3 + 75 + 420 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30833026 + ... + 31155734.

It is an arithmetic number, because the mean of its divisors is an integer number (324150900150).

Almost surely, 2^{10002165375420} is an apocalyptic number.

10002165375420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002165375420 is an abundant number, since it is smaller than the sum of its proper divisors (21116321038980).

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

10002165375420 is a wasteful number, since it uses less digits than its factorization.

10002165375420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380124 (or 380116 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 10002165375420 in words is "ten trillion, two billion, one hundred sixty-five million, three hundred seventy-five thousand, four hundred twenty".