42521504160 has 96 divisors (see below), whose sum is σ = 134002330560. Its totient is φ = 11334023168.

The previous prime is 42521504141. The next prime is 42521504183. The reversal of 42521504160 is 6140512524.

42521504160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1130131 + ... + 1167149.

It is an arithmetic number, because the mean of its divisors is an integer number (1395857610).

Almost surely, 2^42521504160 is an apocalyptic number.

42521504160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42521504160 is an abundant number, since it is smaller than the sum of its proper divisors (91480826400).

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

42521504160 is a wasteful number, since it uses less digits than its factorization.

42521504160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39430 (or 39422 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 42521504160 in words is "forty-two billion, five hundred twenty-one million, five hundred four thousand, one hundred sixty".