80750226585600 has 3888 divisors, whose sum is σ = 361617459610680. Its totient is φ = 17629249536000.

The previous prime is 80750226585577. The next prime is 80750226585607. The reversal of 80750226585600 is 658562205708.

80750226585600 is a `hidden beast` number, since 8 + 0 + 7 + 5 + 0 + 2 + 26 + 5 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80750226585607) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1969517721580 + ... + 1969517721620.

Almost surely, 2^{80750226585600} is an apocalyptic number.

80750226585600 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 80750226585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180808729805340).

80750226585600 is an abundant number, since it is smaller than the sum of its proper divisors (280867233025080).

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

80750226585600 is an equidigital number, since it uses as much as digits as its factorization.

80750226585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 80750226585600 in words is "eighty trillion, seven hundred fifty billion, two hundred twenty-six million, five hundred eighty-five thousand, six hundred".