80754792912000 has 1280 divisors, whose sum is σ = 318014510093280. Its totient is φ = 20239397683200.

The previous prime is 80754792911977. The next prime is 80754792912023. The reversal of 80754792912000 is 21929745708.

80754792912000 is a `hidden beast` number, since 8 + 0 + 7 + 547 + 9 + 2 + 91 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (80754792911977) and next prime (80754792912023).

It can be written as a sum of positive squares in 16 ways, for example, as 7924134920256 + 72830657991744 = 2814984^2 + 8534088^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18793293852 + ... + 18793298148.

Almost surely, 2^{80754792912000} is an apocalyptic number.

80754792912000 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 80754792912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159007255046640).

80754792912000 is an abundant number, since it is smaller than the sum of its proper divisors (237259717181280).

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

80754792912000 is a wasteful number, since it uses less digits than its factorization.

80754792912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5208 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 80754792912000 in words is "eighty trillion, seven hundred fifty-four billion, seven hundred ninety-two million, nine hundred twelve thousand".