87560596160 has 112 divisors (see below), whose sum is σ = 219291846912. Its totient is φ = 33254707200.

The previous prime is 87560596157. The next prime is 87560596169. The reversal of 87560596160 is 6169506578.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is not an unprimeable number, because it can be changed into a prime (87560596169) 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 15 ways as a sum of consecutive naturals, for example, 442490 + ... + 609030.

Almost surely, 2^87560596160 is an apocalyptic number.

87560596160 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 87560596160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109645923456).

87560596160 is an abundant number, since it is smaller than the sum of its proper divisors (131731250752).

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

87560596160 is a wasteful number, since it uses less digits than its factorization.

87560596160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166642 (or 166632 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 53.

The spelling of 87560596160 in words is "eighty-seven billion, five hundred sixty million, five hundred ninety-six thousand, one hundred sixty".