81148792088700 has 576 divisors, whose sum is σ = 315326284492800. Its totient is φ = 17488772985600.

The previous prime is 81148792088687. The next prime is 81148792088743. The reversal of 81148792088700 is 788029784118.

81148792088700 is a `hidden beast` number, since 8 + 1 + 1 + 487 + 9 + 2 + 0 + 88 + 70 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75234607 + ... + 76305593.

Almost surely, 2^{81148792088700} 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 81148792088700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157663142246400).

81148792088700 is an abundant number, since it is smaller than the sum of its proper divisors (234177492404100).

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

81148792088700 is a wasteful number, since it uses less digits than its factorization.

81148792088700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071247 (or 1071234 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 63.

The spelling of 81148792088700 in words is "eighty-one trillion, one hundred forty-eight billion, seven hundred ninety-two million, eighty-eight thousand, seven hundred".