81792205209600 has 2880 divisors, whose sum is σ = 316958309369856. Its totient is φ = 18486310993920.

The previous prime is 81792205209551. The next prime is 81792205209677. The reversal of 81792205209600 is 690250229718.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 764413132747 + ... + 764413132853.

Almost surely, 2^{81792205209600} is an apocalyptic number.

81792205209600 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 81792205209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158479154684928).

81792205209600 is an abundant number, since it is smaller than the sum of its proper divisors (235166104160256).

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

81792205209600 is a wasteful number, since it uses less digits than its factorization.

81792205209600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 81792205209600 in words is "eighty-one trillion, seven hundred ninety-two billion, two hundred five million, two hundred nine thousand, six hundred".