87514086582 has 128 divisors (see below), whose sum is σ = 224495349120. Its totient is φ = 25343165952.

The previous prime is 87514086553. The next prime is 87514086617. The reversal of 87514086582 is 28568041578.

87514086582 is a `hidden beast` number, since 8 + 7 + 51 + 4 + 0 + 8 + 6 + 582 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 921388 + ... + 1011920.

It is an arithmetic number, because the mean of its divisors is an integer number (1753869915).

Almost surely, 2^87514086582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87514086582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112247674560).

87514086582 is an abundant number, since it is smaller than the sum of its proper divisors (136981262538).

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

87514086582 is a wasteful number, since it uses less digits than its factorization.

87514086582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90586 (or 90568 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 87514086582 in words is "eighty-seven billion, five hundred fourteen million, eighty-six thousand, five hundred eighty-two".