80375137920 has 1024 divisors, whose sum is σ = 367317504000. Its totient is φ = 16117678080.

The previous prime is 80375137889. The next prime is 80375137963. The reversal of 80375137920 is 2973157308.

It is a happy number.

80375137920 is a `hidden beast` number, since 80 + 37 + 513 + 7 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38585199 + ... + 38587281.

It is an arithmetic number, because the mean of its divisors is an integer number (358708500).

Almost surely, 2^80375137920 is an apocalyptic number.

80375137920 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 80375137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183658752000).

80375137920 is an abundant number, since it is smaller than the sum of its proper divisors (286942366080).

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

80375137920 is a wasteful number, since it uses less digits than its factorization.

80375137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 80375137920 in words is "eighty billion, three hundred seventy-five million, one hundred thirty-seven thousand, nine hundred twenty".