2100057579312 has 160 divisors (see below), whose sum is σ = 6768558927360. Its totient is φ = 545087477760.

The previous prime is 2100057579293. The next prime is 2100057579337. The reversal of 2100057579312 is 2139757500012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5098114 + ... + 5494622.

It is an arithmetic number, because the mean of its divisors is an integer number (42303493296).

Almost surely, 2^{2100057579312} is an apocalyptic number.

2100057579312 is a gapful number since it is divisible by the number (22) 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 2100057579312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384279463680).

2100057579312 is an abundant number, since it is smaller than the sum of its proper divisors (4668501348048).

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

2100057579312 is a wasteful number, since it uses less digits than its factorization.

2100057579312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397971 (or 397965 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The spelling of 2100057579312 in words is "two trillion, one hundred billion, fifty-seven million, five hundred seventy-nine thousand, three hundred twelve".