87409437120 has 112 divisors (see below), whose sum is σ = 308361100320. Its totient is φ = 23309180928.

The previous prime is 87409437119. The next prime is 87409437133. The reversal of 87409437120 is 2173490478.

87409437120 is a `hidden beast` number, since 87 + 409 + 43 + 7 + 120 = 666.

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

It is a congruent number.

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, 5049777 + ... + 5067056.

It is an arithmetic number, because the mean of its divisors is an integer number (2753224110).

Almost surely, 2^87409437120 is an apocalyptic number.

87409437120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87409437120 is an abundant number, since it is smaller than the sum of its proper divisors (220951663200).

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

87409437120 is a wasteful number, since it uses less digits than its factorization.

87409437120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10116859 (or 10116843 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 87409437120 in words is "eighty-seven billion, four hundred nine million, four hundred thirty-seven thousand, one hundred twenty".