87662615040 has 1920 divisors, whose sum is σ = 427900112640. Its totient is φ = 16721510400.

The previous prime is 87662615023. The next prime is 87662615041. The reversal of 87662615040 is 4051626678.

87662615040 is a `hidden beast` number, since 8 + 7 + 6 + 626 + 15 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (87662615041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 484323750 + ... + 484323930.

It is an arithmetic number, because the mean of its divisors is an integer number (222864642).

Almost surely, 2^87662615040 is an apocalyptic number.

87662615040 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 87662615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213950056320).

87662615040 is an abundant number, since it is smaller than the sum of its proper divisors (340237497600).

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

87662615040 is a wasteful number, since it uses less digits than its factorization.

87662615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

87662615040 divided by its product of nonzero digits (483840) gives a palindrome (181181).

The spelling of 87662615040 in words is "eighty-seven billion, six hundred sixty-two million, six hundred fifteen thousand, forty".