81792357120 has 576 divisors, whose sum is σ = 310041768960. Its totient is φ = 20369276928.

The previous prime is 81792357107. The next prime is 81792357121. The reversal of 81792357120 is 2175329718.

81792357120 is a `hidden beast` number, since 8 + 1 + 79 + 2 + 3 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×81792357120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (81792357121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34178644 + ... + 34181036.

It is an arithmetic number, because the mean of its divisors is an integer number (538266960).

Almost surely, 2^81792357120 is an apocalyptic number.

81792357120 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 81792357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155020884480).

81792357120 is an abundant number, since it is smaller than the sum of its proper divisors (228249411840).

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

81792357120 is a wasteful number, since it uses less digits than its factorization.

81792357120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 81792357120 in words is "eighty-one billion, seven hundred ninety-two million, three hundred fifty-seven thousand, one hundred twenty".