87005906784 has 48 divisors (see below), whose sum is σ = 253767230640. Its totient is φ = 29001968640.

The previous prime is 87005906719. The next prime is 87005906803. The reversal of 87005906784 is 48760950078.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 87005906784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50349777 + ... + 50351504.

It is an arithmetic number, because the mean of its divisors is an integer number (5286817305).

Almost surely, 2^87005906784 is an apocalyptic number.

It is an amenable number.

87005906784 is an abundant number, since it is smaller than the sum of its proper divisors (166761323856).

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

87005906784 is a wasteful number, since it uses less digits than its factorization.

87005906784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100701300 (or 100701286 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 87005906784 in words is "eighty-seven billion, five million, nine hundred six thousand, seven hundred eighty-four".