87904856448 has 384 divisors, whose sum is σ = 278579952000. Its totient is φ = 27209032704.

The previous prime is 87904856411. The next prime is 87904856471. The reversal of 87904856448 is 84465840978.

87904856448 is a `hidden beast` number, since 8 + 7 + 90 + 485 + 64 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692164161 + ... + 692164287.

It is an arithmetic number, because the mean of its divisors is an integer number (725468625).

Almost surely, 2^87904856448 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 87904856448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139289976000).

87904856448 is an abundant number, since it is smaller than the sum of its proper divisors (190675095552).

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

87904856448 is a wasteful number, since it uses less digits than its factorization.

87904856448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 87904856448 in words is "eighty-seven billion, nine hundred four million, eight hundred fifty-six thousand, four hundred forty-eight".