2115360360400 has 180 divisors, whose sum is σ = 5925569679372. Its totient is φ = 723588526080.

The previous prime is 2115360360383. The next prime is 2115360360413. The reversal of 2115360360400 is 40630635112.

It can be written as a sum of positive squares in 6 ways, for example, as 577393298496 + 1537967061904 = 759864^2 + 1240148^2 .

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, 8362174 + ... + 8611426.

Almost surely, 2^{2115360360400} is an apocalyptic number.

2115360360400 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 2115360360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962784839686).

2115360360400 is an abundant number, since it is smaller than the sum of its proper divisors (3810209318972).

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

2115360360400 is a wasteful number, since it uses less digits than its factorization.

2115360360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249718 (or 249700 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 2115360360400 its reverse (40630635112), we get a palindrome (2155990995512).

The spelling of 2115360360400 in words is "two trillion, one hundred fifteen billion, three hundred sixty million, three hundred sixty thousand, four hundred".