2116135125000 has 1344 divisors, whose sum is σ = 8384405178240. Its totient is φ = 496108800000.

The previous prime is 2116135124923. The next prime is 2116135125017. The reversal of 2116135125000 is 5215316112.

2116135125000 is a `hidden beast` number, since 2 + 1 + 1 + 61 + 351 + 250 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 335 ways as a sum of consecutive naturals, for example, 9082124884 + ... + 9082125116.

It is an arithmetic number, because the mean of its divisors is an integer number (6238396710).

Almost surely, 2^{2116135125000} is an apocalyptic number.

2116135125000 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 2116135125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192202589120).

2116135125000 is an abundant number, since it is smaller than the sum of its proper divisors (6268270053240).

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

2116135125000 is an equidigital number, since it uses as much as digits as its factorization.

2116135125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 2116135125000 in words is "two trillion, one hundred sixteen billion, one hundred thirty-five million, one hundred twenty-five thousand".