80075411136 has 336 divisors, whose sum is σ = 275698183680. Its totient is φ = 22723545600.

The previous prime is 80075411081. The next prime is 80075411147. The reversal of 80075411136 is 63111457008.

80075411136 is a `hidden beast` number, since 80 + 0 + 7 + 541 + 1 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 80075411136.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12782341 + ... + 12788603.

Almost surely, 2^80075411136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80075411136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137849091840).

80075411136 is an abundant number, since it is smaller than the sum of its proper divisors (195622772544).

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

80075411136 is a wasteful number, since it uses less digits than its factorization.

80075411136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6449 (or 6426 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 80075411136 in words is "eighty billion, seventy-five million, four hundred eleven thousand, one hundred thirty-six".