87008732496 has 160 divisors (see below), whose sum is σ = 285562675200. Its totient is φ = 24847689600.

The previous prime is 87008732483. The next prime is 87008732527. The reversal of 87008732496 is 69423780078.

87008732496 is a `hidden beast` number, since 8 + 70 + 0 + 87 + 3 + 2 + 496 = 666.

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 31 ways as a sum of consecutive naturals, for example, 7708585 + ... + 7719863.

It is an arithmetic number, because the mean of its divisors is an integer number (1784766720).

Almost surely, 2^87008732496 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 87008732496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142781337600).

87008732496 is an abundant number, since it is smaller than the sum of its proper divisors (198553942704).

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

87008732496 is a wasteful number, since it uses less digits than its factorization.

87008732496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13854 (or 13842 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 87008732496 in words is "eighty-seven billion, eight million, seven hundred thirty-two thousand, four hundred ninety-six".