87298825680 has 400 divisors, whose sum is σ = 350227209024. Its totient is φ = 19918172160.

The previous prime is 87298825643. The next prime is 87298825699. The reversal of 87298825680 is 8652889278.

It is a congruent number.

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, 1175739 + ... + 1247781.

Almost surely, 2^87298825680 is an apocalyptic number.

87298825680 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 87298825680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175113604512).

87298825680 is an abundant number, since it is smaller than the sum of its proper divisors (262928383344).

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

87298825680 is a wasteful number, since it uses less digits than its factorization.

87298825680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72096 (or 72081 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 87298825680 in words is "eighty-seven billion, two hundred ninety-eight million, eight hundred twenty-five thousand, six hundred eighty".