10164907390200 has 576 divisors, whose sum is σ = 33773488358400. Its totient is φ = 2528287257600.

The previous prime is 10164907390189. The next prime is 10164907390223. The reversal of 10164907390200 is 209370946101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8607033610 + ... + 8607034790.

It is an arithmetic number, because the mean of its divisors is an integer number (58634528400).

Almost surely, 2^{10164907390200} is an apocalyptic number.

10164907390200 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 10164907390200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16886744179200).

10164907390200 is an abundant number, since it is smaller than the sum of its proper divisors (23608580968200).

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

10164907390200 is a wasteful number, since it uses less digits than its factorization.

10164907390200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 10164907390200 in words is "ten trillion, one hundred sixty-four billion, nine hundred seven million, three hundred ninety thousand, two hundred".