2111357976000 has 3584 divisors, whose sum is σ = 9930928250880. Its totient is φ = 382205952000.

The previous prime is 2111357975953. The next prime is 2111357976001. The reversal of 2111357976000 is 6797531112.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111357976001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 28922711964 + ... + 28922712036.

It is an arithmetic number, because the mean of its divisors is an integer number (2770906320).

Almost surely, 2^{2111357976000} is an apocalyptic number.

2111357976000 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 2111357976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4965464125440).

2111357976000 is an abundant number, since it is smaller than the sum of its proper divisors (7819570274880).

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

2111357976000 is a wasteful number, since it uses less digits than its factorization.

2111357976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 2111357976000 in words is "two trillion, one hundred eleven billion, three hundred fifty-seven million, nine hundred seventy-six thousand".