100572295680 has 960 divisors, whose sum is σ = 388935106560. Its totient is φ = 24831442944.

The previous prime is 100572295669. The next prime is 100572295709. The reversal of 100572295680 is 86592275001.

100572295680 is a `hidden beast` number, since 1 + 0 + 0 + 572 + 29 + 56 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×100572295680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 791907777 + ... + 791907903.

It is an arithmetic number, because the mean of its divisors is an integer number (405140736).

Almost surely, 2^100572295680 is an apocalyptic number.

100572295680 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 100572295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194467553280).

100572295680 is an abundant number, since it is smaller than the sum of its proper divisors (288362810880).

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

100572295680 is an equidigital number, since it uses as much as digits as its factorization.

100572295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 100572295680 in words is "one hundred billion, five hundred seventy-two million, two hundred ninety-five thousand, six hundred eighty".