81692111513088 has 1280 divisors, whose sum is σ = 261774696775680. Its totient is φ = 25107347865600.

The previous prime is 81692111513087. The next prime is 81692111513149. The reversal of 81692111513088 is 88031511129618.

81692111513088 is a `hidden beast` number, since 8 + 1 + 6 + 9 + 2 + 111 + 513 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81692111513087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 156798678268 + ... + 156798678788.

It is an arithmetic number, because the mean of its divisors is an integer number (204511481856).

Almost surely, 2^{81692111513088} 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 81692111513088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130887348387840).

81692111513088 is an abundant number, since it is smaller than the sum of its proper divisors (180082585262592).

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

81692111513088 is a wasteful number, since it uses less digits than its factorization.

81692111513088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 54.

The spelling of 81692111513088 in words is "eighty-one trillion, six hundred ninety-two billion, one hundred eleven million, five hundred thirteen thousand, eighty-eight".