80692130534400 has 3696 divisors, whose sum is σ = 377052786684288. Its totient is φ = 16625958912000.

The previous prime is 80692130534363. The next prime is 80692130534429. The reversal of 80692130534400 is 443503129608.

80692130534400 is a `hidden beast` number, since 8 + 0 + 69 + 2 + 13 + 0 + 534 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3696).

It is a super-2 number, since 2×80692130534400² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 334822118280 + ... + 334822118520.

Almost surely, 2^{80692130534400} is an apocalyptic number.

80692130534400 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 80692130534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188526393342144).

80692130534400 is an abundant number, since it is smaller than the sum of its proper divisors (296360656149888).

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

80692130534400 is a wasteful number, since it uses less digits than its factorization.

80692130534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 80692130534400 in words is "eighty trillion, six hundred ninety-two billion, one hundred thirty million, five hundred thirty-four thousand, four hundred".