2115271065600 has 2856 divisors, whose sum is σ = 10232245308672. Its totient is φ = 420426547200.

The previous prime is 2115271065587. The next prime is 2115271065629. The reversal of 2115271065600 is 65601725112.

2115271065600 is a `hidden beast` number, since 2 + 1 + 1 + 527 + 10 + 65 + 60 + 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 167 ways as a sum of consecutive naturals, for example, 91968307189 + ... + 91968307211.

Almost surely, 2^{2115271065600} is an apocalyptic number.

2115271065600 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 2115271065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5116122654336).

2115271065600 is an abundant number, since it is smaller than the sum of its proper divisors (8116974243072).

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

2115271065600 is an frugal number, since it uses more digits than its factorization.

2115271065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 2115271065600 in words is "two trillion, one hundred fifteen billion, two hundred seventy-one million, sixty-five thousand, six hundred".