2007115315200 has 432 divisors, whose sum is σ = 7244988791040. Its totient is φ = 531000852480.

The previous prime is 2007115315193. The next prime is 2007115315229. The reversal of 2007115315200 is 25135117002.

2007115315200 is a `hidden beast` number, since 20 + 0 + 7 + 115 + 3 + 1 + 520 + 0 = 666.

It is a congruent number.

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, 58504452 + ... + 58538748.

Almost surely, 2^{2007115315200} is an apocalyptic number.

2007115315200 is a gapful number since it is divisible by the number (20) 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 2007115315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622494395520).

2007115315200 is an abundant number, since it is smaller than the sum of its proper divisors (5237873475840).

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

2007115315200 is a wasteful number, since it uses less digits than its factorization.

2007115315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34462 (or 34434 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 2007115315200 in words is "two trillion, seven billion, one hundred fifteen million, three hundred fifteen thousand, two hundred".