10213704508800 has 768 divisors, whose sum is σ = 39451287456000. Its totient is φ = 2299672166400.

The previous prime is 10213704508769. The next prime is 10213704508823. The reversal of 10213704508800 is 880540731201.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 68690535 + ... + 68839065.

It is an arithmetic number, because the mean of its divisors is an integer number (51368863875).

Almost surely, 2^{10213704508800} is an apocalyptic number.

10213704508800 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 10213704508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19725643728000).

10213704508800 is an abundant number, since it is smaller than the sum of its proper divisors (29237582947200).

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

10213704508800 is a wasteful number, since it uses less digits than its factorization.

10213704508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148619 (or 148602 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 10213704508800 in words is "ten trillion, two hundred thirteen billion, seven hundred four million, five hundred eight thousand, eight hundred".