5307955200000 has 540 divisors, whose sum is σ = 19167468203520. Its totient is φ = 1415331840000.

The previous prime is 5307955199917. The next prime is 5307955200017. The reversal of 5307955200000 is 25597035.

5307955200000 is a `hidden beast` number, since 5 + 30 + 79 + 552 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 460794241 + ... + 460805759.

It is an arithmetic number, because the mean of its divisors is an integer number (35495311488).

Almost surely, 2^{5307955200000} is an apocalyptic number.

5307955200000 is a gapful number since it is divisible by the number (50) 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 5307955200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9583734101760).

5307955200000 is an abundant number, since it is smaller than the sum of its proper divisors (13859513003520).

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

5307955200000 is an frugal number, since it uses more digits than its factorization.

5307955200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11578 (or 11529 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The spelling of 5307955200000 in words is "five trillion, three hundred seven billion, nine hundred fifty-five million, two hundred thousand".