80939135692800 has 4680 divisors, whose sum is σ = 387189897073056. Its totient is φ = 16349921280000.

The previous prime is 80939135692787. The next prime is 80939135692843. The reversal of 80939135692800 is 829653193908.

80939135692800 is a `hidden beast` number, since 8 + 0 + 9 + 39 + 13 + 569 + 28 + 0 + 0 = 666.

It is a super-2 number, since 2×80939135692800² (a number of 29 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 288039628660 + ... + 288039628940.

Almost surely, 2^{80939135692800} is an apocalyptic number.

80939135692800 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 80939135692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193594948536528).

80939135692800 is an abundant number, since it is smaller than the sum of its proper divisors (306250761380256).

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

80939135692800 is a wasteful number, since it uses less digits than its factorization.

80939135692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 80939135692800 in words is "eighty trillion, nine hundred thirty-nine billion, one hundred thirty-five million, six hundred ninety-two thousand, eight hundred".