80852152320 has 1040 divisors, whose sum is σ = 318551004288. Its totient is φ = 19534970880.

The previous prime is 80852152309. The next prime is 80852152327. The reversal of 80852152320 is 2325125808.

80852152320 is a `hidden beast` number, since 80 + 8 + 52 + 1 + 523 + 2 + 0 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (80852152327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1325445090 + ... + 1325445150.

Almost surely, 2^80852152320 is an apocalyptic number.

80852152320 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 80852152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159275502144).

80852152320 is an abundant number, since it is smaller than the sum of its proper divisors (237698851968).

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

80852152320 is a wasteful number, since it uses less digits than its factorization.

80852152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 80852152320 in words is "eighty billion, eight hundred fifty-two million, one hundred fifty-two thousand, three hundred twenty".