10200465260400 has 60 divisors (see below), whose sum is σ = 32675490387992. Its totient is φ = 2720124069120.

The previous prime is 10200465260389. The next prime is 10200465260443. The reversal of 10200465260400 is 406256400201.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4250192659 + ... + 4250195058.

Almost surely, 2^{10200465260400} is an apocalyptic number.

10200465260400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200465260400 is an abundant number, since it is smaller than the sum of its proper divisors (22475025127592).

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

10200465260400 is a wasteful number, since it uses less digits than its factorization.

10200465260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8500387738 (or 8500387727 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 10200465260400 in words is "ten trillion, two hundred billion, four hundred sixty-five million, two hundred sixty thousand, four hundred".