87691418580 has 384 divisors, whose sum is σ = 290819289600. Its totient is φ = 19582746624.

The previous prime is 87691418531. The next prime is 87691418627. The reversal of 87691418580 is 8581419678.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 87691418580.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20792632 + ... + 20796848.

It is an arithmetic number, because the mean of its divisors is an integer number (757341900).

Almost surely, 2^87691418580 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 87691418580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145409644800).

87691418580 is an abundant number, since it is smaller than the sum of its proper divisors (203127871020).

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

87691418580 is a wasteful number, since it uses less digits than its factorization.

87691418580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 57.

The spelling of 87691418580 in words is "eighty-seven billion, six hundred ninety-one million, four hundred eighteen thousand, five hundred eighty".