10680093250400 has 144 divisors (see below), whose sum is σ = 30824959263840. Its totient is φ = 3535479091200.

The previous prime is 10680093250397. The next prime is 10680093250417. The reversal of 10680093250400 is 405239008601.

It is a happy number.

It is a super-2 number, since 2×10680093250400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32719661 + ... + 33044460.

It is an arithmetic number, because the mean of its divisors is an integer number (214062217110).

Almost surely, 2^{10680093250400} is an apocalyptic number.

10680093250400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10680093250400 is an abundant number, since it is smaller than the sum of its proper divisors (20144866013440).

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

10680093250400 is a wasteful number, since it uses less digits than its factorization.

10680093250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65764177 (or 65764164 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 10680093250400 in words is "ten trillion, six hundred eighty billion, ninety-three million, two hundred fifty thousand, four hundred".