87222587040 has 144 divisors (see below), whose sum is σ = 307248754176. Its totient is φ = 22509043200.

The previous prime is 87222587033. The next prime is 87222587041. The reversal of 87222587040 is 4078522278.

87222587040 is a `hidden beast` number, since 8 + 7 + 2 + 22 + 587 + 0 + 40 = 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 not an unprimeable number, because it can be changed into a prime (87222587041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 932316 + ... + 1021595.

It is an arithmetic number, because the mean of its divisors is an integer number (2133671904).

Almost surely, 2^87222587040 is an apocalyptic number.

87222587040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87222587040 is an abundant number, since it is smaller than the sum of its proper divisors (220026167136).

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

87222587040 is a wasteful number, since it uses less digits than its factorization.

87222587040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953963 (or 1953952 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 87222587040 in words is "eighty-seven billion, two hundred twenty-two million, five hundred eighty-seven thousand, forty".