100552656458880 has 768 divisors, whose sum is σ = 381861554256000. Its totient is φ = 25197070712832.

The previous prime is 100552656458873. The next prime is 100552656458887. The reversal of 100552656458880 is 88854656255001.

100552656458880 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 52 + 6 + 56 + 458 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (100552656458873) and next prime (100552656458887).

It is a super-2 number, since 2×100552656458880² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100552656458887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1699959546 + ... + 1700018694.

Almost surely, 2^{100552656458880} is an apocalyptic number.

100552656458880 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 100552656458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190930777128000).

100552656458880 is an abundant number, since it is smaller than the sum of its proper divisors (281308897797120).

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

100552656458880 is an equidigital number, since it uses as much as digits as its factorization.

100552656458880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59843 (or 59819 counting only the distinct ones).

The product of its (nonzero) digits is 92160000, while the sum is 63.

The spelling of 100552656458880 in words is "one hundred trillion, five hundred fifty-two billion, six hundred fifty-six million, four hundred fifty-eight thousand, eight hundred eighty".