87650122560 has 896 divisors, whose sum is σ = 376354750464. Its totient is φ = 16690544640.

The previous prime is 87650122543. The next prime is 87650122561. The reversal of 87650122560 is 6522105678.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87650122561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 189308889 + ... + 189309351.

It is an arithmetic number, because the mean of its divisors is an integer number (420038784).

Almost surely, 2^87650122560 is an apocalyptic number.

87650122560 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 87650122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188177375232).

87650122560 is an abundant number, since it is smaller than the sum of its proper divisors (288704627904).

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

87650122560 is a wasteful number, since it uses less digits than its factorization.

87650122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 87650122560 in words is "eighty-seven billion, six hundred fifty million, one hundred twenty-two thousand, five hundred sixty".