352406272525100 has 144 divisors (see below), whose sum is σ = 800512562041920. Its totient is φ = 134486233728000.

The previous prime is 352406272525063. The next prime is 352406272525133. The reversal of 352406272525100 is 1525272604253.

It is a super-2 number, since 2×352406272525100² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146132714 + ... + 148524686.

It is an arithmetic number, because the mean of its divisors is an integer number (5559115014180).

Almost surely, 2^{352406272525100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352406272525100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400256281020960).

352406272525100 is an abundant number, since it is smaller than the sum of its proper divisors (448106289516820).

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

352406272525100 is a wasteful number, since it uses less digits than its factorization.

352406272525100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392620 (or 2392613 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 44.

The spelling of 352406272525100 in words is "three hundred fifty-two trillion, four hundred six billion, two hundred seventy-two million, five hundred twenty-five thousand, one hundred".