3115204268800 has 216 divisors, whose sum is σ = 8359504801200. Its totient is φ = 1142505062400.

The previous prime is 3115204268753. The next prime is 3115204268893. The reversal of 3115204268800 is 88624025113.

It is a super-3 number, since 3×3115204268800³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12271155 + ... + 12522445.

Almost surely, 2^{3115204268800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3115204268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179752400600).

3115204268800 is an abundant number, since it is smaller than the sum of its proper divisors (5244300532400).

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

3115204268800 is a wasteful number, since it uses less digits than its factorization.

3115204268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251479 (or 251460 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 3115204268800 in words is "three trillion, one hundred fifteen billion, two hundred four million, two hundred sixty-eight thousand, eight hundred".