10657413443200 has 192 divisors, whose sum is σ = 26417208520800. Its totient is φ = 4248407797760.

The previous prime is 10657413443191. The next prime is 10657413443213. The reversal of 10657413443200 is 234431475601.

It is a super-2 number, since 2×10657413443200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1176440271 + ... + 1176449329.

Almost surely, 2^{10657413443200} is an apocalyptic number.

10657413443200 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 10657413443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208604260400).

10657413443200 is an abundant number, since it is smaller than the sum of its proper divisors (15759795077600).

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

10657413443200 is an equidigital number, since it uses as much as digits as its factorization.

10657413443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10299 (or 10282 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 10657413443200 in words is "ten trillion, six hundred fifty-seven billion, four hundred thirteen million, four hundred forty-three thousand, two hundred".