2113610085000 has 320 divisors, whose sum is σ = 7768147147200. Its totient is φ = 530474112000.

The previous prime is 2113610084951. The next prime is 2113610085011. The reversal of 2113610085000 is 5800163112.

2113610085000 is a `hidden beast` number, since 21 + 1 + 36 + 100 + 8 + 500 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1834519 + ... + 2755481.

It is an arithmetic number, because the mean of its divisors is an integer number (24275459835).

Almost surely, 2^{2113610085000} is an apocalyptic number.

2113610085000 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 2113610085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884073573600).

2113610085000 is an abundant number, since it is smaller than the sum of its proper divisors (5654537062200).

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

2113610085000 is a wasteful number, since it uses less digits than its factorization.

2113610085000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921015 (or 920990 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 2113610085000 in words is "two trillion, one hundred thirteen billion, six hundred ten million, eighty-five thousand".