87473903616 has 864 divisors, whose sum is σ = 311590843200. Its totient is φ = 24246190080.

The previous prime is 87473903603. The next prime is 87473903701. The reversal of 87473903616 is 61630937478.

87473903616 is a `hidden beast` number, since 87 + 473 + 90 + 3 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 71 ways as a sum of consecutive naturals, for example, 3016341490 + ... + 3016341518.

It is an arithmetic number, because the mean of its divisors is an integer number (360637550).

Almost surely, 2^87473903616 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 87473903616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155795421600).

87473903616 is an abundant number, since it is smaller than the sum of its proper divisors (224116939584).

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

87473903616 is a wasteful number, since it uses less digits than its factorization.

87473903616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 87473903616 in words is "eighty-seven billion, four hundred seventy-three million, nine hundred three thousand, six hundred sixteen".