10625221664400 has 120 divisors (see below), whose sum is σ = 38898430581184. Its totient is φ = 2428622092800.

The previous prime is 10625221664381. The next prime is 10625221664413. The reversal of 10625221664400 is 446612252601.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10625221664400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632445271 + ... + 632462070.

Almost surely, 2^{10625221664400} is an apocalyptic number.

10625221664400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10625221664400 is an abundant number, since it is smaller than the sum of its proper divisors (28273208916784).

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

10625221664400 is a wasteful number, since it uses less digits than its factorization.

10625221664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264907369 (or 1264907358 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 10625221664400 in words is "ten trillion, six hundred twenty-five billion, two hundred twenty-one million, six hundred sixty-four thousand, four hundred".