86911493024772 has 288 divisors, whose sum is σ = 243538973758080. Its totient is φ = 25964377528320.

The previous prime is 86911493024593. The next prime is 86911493024803. The reversal of 86911493024772 is 27742039411968.

86911493024772 is a `hidden beast` number, since 8 + 6 + 91 + 1 + 49 + 30 + 2 + 477 + 2 = 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, 12191256504 + ... + 12191263632.

It is an arithmetic number, because the mean of its divisors is an integer number (845621436660).

Almost surely, 2^{86911493024772} 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 86911493024772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121769486879040).

86911493024772 is an abundant number, since it is smaller than the sum of its proper divisors (156627480733308).

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

86911493024772 is a wasteful number, since it uses less digits than its factorization.

86911493024772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10723 (or 10718 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 86911493024772 in words is "eighty-six trillion, nine hundred eleven billion, four hundred ninety-three million, twenty-four thousand, seven hundred seventy-two".