87896251935680 has 448 divisors, whose sum is σ = 220444464936960. Its totient is φ = 33346639872000.

The previous prime is 87896251935649. The next prime is 87896251935719. The reversal of 87896251935680 is 8653915269878.

It is a super-2 number, since 2×87896251935680² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71869379549 + ... + 71869380771.

Almost surely, 2^{87896251935680} is an apocalyptic number.

87896251935680 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 87896251935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110222232468480).

87896251935680 is an abundant number, since it is smaller than the sum of its proper divisors (132548213001280).

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

87896251935680 is a wasteful number, since it uses less digits than its factorization.

87896251935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 77.

The spelling of 87896251935680 in words is "eighty-seven trillion, eight hundred ninety-six billion, two hundred fifty-one million, nine hundred thirty-five thousand, six hundred eighty".