87496342560 has 960 divisors, whose sum is σ = 361981509120. Its totient is φ = 19667681280.

The previous prime is 87496342547. The next prime is 87496342601. The reversal of 87496342560 is 6524369478.

87496342560 is a `hidden beast` number, since 8 + 7 + 49 + 6 + 34 + 2 + 560 = 666.

It is a super-2 number, since 2×87496342560² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 87496342497 and 87496342506.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 191457852 + ... + 191458308.

It is an arithmetic number, because the mean of its divisors is an integer number (377064072).

Almost surely, 2^87496342560 is an apocalyptic number.

87496342560 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 87496342560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180990754560).

87496342560 is an abundant number, since it is smaller than the sum of its proper divisors (274485166560).

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

87496342560 is a wasteful number, since it uses less digits than its factorization.

87496342560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 87496342560 in words is "eighty-seven billion, four hundred ninety-six million, three hundred forty-two thousand, five hundred sixty".