2115088360200 has 288 divisors, whose sum is σ = 7284183603840. Its totient is φ = 549707558400.

The previous prime is 2115088360199. The next prime is 2115088360237. The reversal of 2115088360200 is 20638805112.

It is a happy number.

2115088360200 is a `hidden beast` number, since 2 + 1 + 15 + 0 + 88 + 360 + 200 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35806690 + ... + 35865710.

It is an arithmetic number, because the mean of its divisors is an integer number (25292304180).

Almost surely, 2^{2115088360200} is an apocalyptic number.

2115088360200 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 2115088360200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642091801920).

2115088360200 is an abundant number, since it is smaller than the sum of its proper divisors (5169095243640).

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

2115088360200 is a wasteful number, since it uses less digits than its factorization.

2115088360200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59549 (or 59537 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 2115088360200 in words is "two trillion, one hundred fifteen billion, eighty-eight million, three hundred sixty thousand, two hundred".