80026627968000 has 2816 divisors, whose sum is σ = 369518523678720. Its totient is φ = 16657809408000.

The previous prime is 80026627967959. The next prime is 80026627968013. The reversal of 80026627968000 is 86972662008.

80026627968000 is a `hidden beast` number, since 8 + 0 + 0 + 2 + 6 + 627 + 9 + 6 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×80026627968000² (a number of 29 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 12749180862 + ... + 12749187138.

Almost surely, 2^{80026627968000} is an apocalyptic number.

80026627968000 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 80026627968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184759261839360).

80026627968000 is an abundant number, since it is smaller than the sum of its proper divisors (289491895710720).

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

80026627968000 is a wasteful number, since it uses less digits than its factorization.

80026627968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6376 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 80026627968000 in words is "eighty trillion, twenty-six billion, six hundred twenty-seven million, nine hundred sixty-eight thousand".