81940092998400 has 5184 divisors, whose sum is σ = 406702716026880. Its totient is φ = 15834075955200.

The previous prime is 81940092998399. The next prime is 81940092998441. The reversal of 81940092998400 is 489929004918.

81940092998400 is a `hidden beast` number, since 8 + 19 + 40 + 0 + 92 + 9 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 83357164309 + ... + 83357165291.

Almost surely, 2^{81940092998400} is an apocalyptic number.

81940092998400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81940092998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203351358013440).

81940092998400 is an abundant number, since it is smaller than the sum of its proper divisors (324762623028480).

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

81940092998400 is a wasteful number, since it uses less digits than its factorization.

81940092998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 81940092998400 in words is "eighty-one trillion, nine hundred forty billion, ninety-two million, nine hundred ninety-eight thousand, four hundred".