87586853904 has 840 divisors, whose sum is σ = 307347542784. Its totient is φ = 23934528000.

The previous prime is 87586853819. The next prime is 87586853911. The reversal of 87586853904 is 40935868578.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 1435850034 + ... + 1435850094.

Almost surely, 2^87586853904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87586853904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153673771392).

87586853904 is an abundant number, since it is smaller than the sum of its proper divisors (219760688880).

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

87586853904 is a wasteful number, since it uses less digits than its factorization.

87586853904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 87586853904 in words is "eighty-seven billion, five hundred eighty-six million, eight hundred fifty-three thousand, nine hundred four".