80400745152 has 784 divisors, whose sum is σ = 305028843840. Its totient is φ = 20442046464.

The previous prime is 80400745141. The next prime is 80400745157. The reversal of 80400745152 is 25154700408.

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

It is not an unprimeable number, because it can be changed into a prime (80400745157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 123124858 + ... + 123125510.

Almost surely, 2^80400745152 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 80400745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152514421920).

80400745152 is an abundant number, since it is smaller than the sum of its proper divisors (224628098688).

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

80400745152 is a wasteful number, since it uses less digits than its factorization.

80400745152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 80400745152 in words is "eighty billion, four hundred million, seven hundred forty-five thousand, one hundred fifty-two".