42557527448100 has 144 divisors (see below), whose sum is σ = 156359508323200. Its totient is φ = 9727434840960.

The previous prime is 42557527448089. The next prime is 42557527448143. The reversal of 42557527448100 is 184472575524.

42557527448100 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 7 + 527 + 4 + 4 + 8 + 100 = 666.

It is a super-3 number, since 3×42557527448100³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1125841615 + ... + 1125879414.

Almost surely, 2^{42557527448100} is an apocalyptic number.

It is an amenable number.

42557527448100 is an abundant number, since it is smaller than the sum of its proper divisors (113801980875100).

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

42557527448100 is a wasteful number, since it uses less digits than its factorization.

42557527448100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251721059 (or 2251721046 counting only the distinct ones).

The product of its (nonzero) digits is 12544000, while the sum is 54.

The spelling of 42557527448100 in words is "forty-two trillion, five hundred fifty-seven billion, five hundred twenty-seven million, four hundred forty-eight thousand, one hundred".