10206626512320 has 672 divisors, whose sum is σ = 41659786022400. Its totient is φ = 2330026020864.

The previous prime is 10206626512261. The next prime is 10206626512339. The reversal of 10206626512320 is 2321562660201.

10206626512320 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 626 + 5 + 1 + 2 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10206626512320² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 451229971 + ... + 451252589.

It is an arithmetic number, because the mean of its divisors is an integer number (61993729200).

Almost surely, 2^{10206626512320} is an apocalyptic number.

10206626512320 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 10206626512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20829893011200).

10206626512320 is an abundant number, since it is smaller than the sum of its proper divisors (31453159510080).

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

10206626512320 is an equidigital number, since it uses as much as digits as its factorization.

10206626512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23487 (or 23465 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10206626512320 in words is "ten trillion, two hundred six billion, six hundred twenty-six million, five hundred twelve thousand, three hundred twenty".