87981075312096 has 192 divisors, whose sum is σ = 239595578449920. Its totient is φ = 28238860984320.

The previous prime is 87981075312079. The next prime is 87981075312107. The reversal of 87981075312096 is 69021357018978.

It is a happy number.

It is a super-2 number, since 2×87981075312096² (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 31 ways as a sum of consecutive naturals, for example, 1078780056 + ... + 1078861608.

It is an arithmetic number, because the mean of its divisors is an integer number (1247893637760).

Almost surely, 2^{87981075312096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87981075312096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119797789224960).

87981075312096 is an abundant number, since it is smaller than the sum of its proper divisors (151614503137824).

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

87981075312096 is a wasteful number, since it uses less digits than its factorization.

87981075312096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83409 (or 83401 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 66.

The spelling of 87981075312096 in words is "eighty-seven trillion, nine hundred eighty-one billion, seventy-five million, three hundred twelve thousand, ninety-six".