80072435520 has 896 divisors, whose sum is σ = 367562465280. Its totient is φ = 15911976960.

The previous prime is 80072435519. The next prime is 80072435579. The reversal of 80072435520 is 2553427008.

80072435520 is a `hidden beast` number, since 80 + 0 + 7 + 24 + 3 + 552 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15298824 + ... + 15304056.

Almost surely, 2^80072435520 is an apocalyptic number.

80072435520 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 80072435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183781232640).

80072435520 is an abundant number, since it is smaller than the sum of its proper divisors (287490029760).

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

80072435520 is a wasteful number, since it uses less digits than its factorization.

80072435520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5300 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 80072435520 in words is "eighty billion, seventy-two million, four hundred thirty-five thousand, five hundred twenty".