10643517220400 has 120 divisors (see below), whose sum is σ = 26200194746880. Its totient is φ = 4153248794880.

The previous prime is 10643517220367. The next prime is 10643517220411. The reversal of 10643517220400 is 402271534601.

It is a super-2 number, since 2×10643517220400² (a number of 27 digits) contains 22 as substring.

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, 4849541 + ... + 6693659.

It is an arithmetic number, because the mean of its divisors is an integer number (218334956224).

Almost surely, 2^{10643517220400} is an apocalyptic number.

10643517220400 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 10643517220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13100097373440).

10643517220400 is an abundant number, since it is smaller than the sum of its proper divisors (15556677526480).

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

10643517220400 is a wasteful number, since it uses less digits than its factorization.

10643517220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844491 (or 1844480 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 10643517220400 in words is "ten trillion, six hundred forty-three billion, five hundred seventeen million, two hundred twenty thousand, four hundred".