87697945276992 has 672 divisors, whose sum is σ = 282342140196480. Its totient is φ = 26895355084800.

The previous prime is 87697945276957. The next prime is 87697945277021. The reversal of 87697945276992 is 29967254979678.

It is a happy number.

87697945276992 is a `hidden beast` number, since 8 + 7 + 6 + 9 + 7 + 9 + 452 + 7 + 69 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6089704992 + ... + 6089719392.

It is an arithmetic number, because the mean of its divisors is an integer number (420151994340).

Almost surely, 2^{87697945276992} 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 87697945276992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141171070098240).

87697945276992 is an abundant number, since it is smaller than the sum of its proper divisors (194644194919488).

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

87697945276992 is a wasteful number, since it uses less digits than its factorization.

87697945276992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15041 (or 15019 counting only the distinct ones).

The product of its digits is 51849745920, while the sum is 90.

The spelling of 87697945276992 in words is "eighty-seven trillion, six hundred ninety-seven billion, nine hundred forty-five million, two hundred seventy-six thousand, nine hundred ninety-two".