87653522560 has 192 divisors, whose sum is σ = 221590971000. Its totient is φ = 33148780544.

The previous prime is 87653522543. The next prime is 87653522563. The reversal of 87653522560 is 6522535678.

It can be written as a sum of positive squares in 4 ways, for example, as 72861125184 + 14792397376 = 269928^2 + 121624^2 .

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (87653522563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30130386 + ... + 30133294.

Almost surely, 2^87653522560 is an apocalyptic number.

87653522560 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 87653522560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110795485500).

87653522560 is an abundant number, since it is smaller than the sum of its proper divisors (133937448440).

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

87653522560 is a wasteful number, since it uses less digits than its factorization.

87653522560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 49.

The spelling of 87653522560 in words is "eighty-seven billion, six hundred fifty-three million, five hundred twenty-two thousand, five hundred sixty".