2115616053600 has 432 divisors, whose sum is σ = 8610368588640. Its totient is φ = 478780416000.

The previous prime is 2115616053553. The next prime is 2115616053611. The reversal of 2115616053600 is 63506165112.

2115616053600 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 61 + 60 + 536 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4882596 + ... + 5298204.

It is an arithmetic number, because the mean of its divisors is an integer number (19931408770).

Almost surely, 2^{2115616053600} is an apocalyptic number.

2115616053600 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 2115616053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305184294320).

2115616053600 is an abundant number, since it is smaller than the sum of its proper divisors (6494752535040).

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

2115616053600 is a wasteful number, since it uses less digits than its factorization.

2115616053600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415743 (or 415727 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 2115616053600 in words is "two trillion, one hundred fifteen billion, six hundred sixteen million, fifty-three thousand, six hundred".