87880515840 has 720 divisors, whose sum is σ = 342230133168. Its totient is φ = 21403533312.

The previous prime is 87880515797. The next prime is 87880515869. The reversal of 87880515840 is 4851508878.

87880515840 is a `hidden beast` number, since 8 + 7 + 8 + 8 + 0 + 51 + 584 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5019439104 + 82861076736 = 70848^2 + 287856^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 152305632 + ... + 152306208.

Almost surely, 2^87880515840 is an apocalyptic number.

87880515840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87880515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171115066584).

87880515840 is an abundant number, since it is smaller than the sum of its proper divisors (254349617328).

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

87880515840 is a wasteful number, since it uses less digits than its factorization.

87880515840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 54.

The spelling of 87880515840 in words is "eighty-seven billion, eight hundred eighty million, five hundred fifteen thousand, eight hundred forty".