309052800000 has 1584 divisors, whose sum is σ = 1349014595040. Its totient is φ = 69672960000.

The previous prime is 309052799999. The next prime is 309052800031. The reversal of 309052800000 is 8250903.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4233599964 + ... + 4233600036.

Almost surely, 2^309052800000 is an apocalyptic number.

309052800000 is a gapful number since it is divisible by the number (30) 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 309052800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674507297520).

309052800000 is an abundant number, since it is smaller than the sum of its proper divisors (1039961795040).

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

309052800000 is an frugal number, since it uses more digits than its factorization.

309052800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 309052800000 in words is "three hundred nine billion, fifty-two million, eight hundred thousand".