87232177440 has 144 divisors (see below), whose sum is σ = 298992290688. Its totient is φ = 23159351808.

The previous prime is 87232177397. The next prime is 87232177477. The reversal of 87232177440 is 4477123278.

87232177440 is a `hidden beast` number, since 8 + 7 + 2 + 32 + 177 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 193449 + ... + 460311.

It is an arithmetic number, because the mean of its divisors is an integer number (2076335352).

Almost surely, 2^87232177440 is an apocalyptic number.

87232177440 is a gapful number since it is divisible by the number (80) 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 87232177440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149496145344).

87232177440 is an abundant number, since it is smaller than the sum of its proper divisors (211760113248).

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

87232177440 is a wasteful number, since it uses less digits than its factorization.

87232177440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267111 (or 267100 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 87232177440 in words is "eighty-seven billion, two hundred thirty-two million, one hundred seventy-seven thousand, four hundred forty".