2107596138912 has 384 divisors, whose sum is σ = 6945483283200. Its totient is φ = 615908966400.

The previous prime is 2107596138899. The next prime is 2107596138919. The reversal of 2107596138912 is 2198316957012.

It is a happy number.

2107596138912 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 5 + 9 + 613 + 8 + 9 + 12 = 666.

It is a super-2 number, since 2×2107596138912² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2107596138919) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258248112 + ... + 258256272.

It is an arithmetic number, because the mean of its divisors is an integer number (18087196050).

Almost surely, 2^{2107596138912} is an apocalyptic number.

2107596138912 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 2107596138912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472741641600).

2107596138912 is an abundant number, since it is smaller than the sum of its proper divisors (4837887144288).

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

2107596138912 is a wasteful number, since it uses less digits than its factorization.

2107596138912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9157 (or 9143 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 2107596138912 in words is "two trillion, one hundred seven billion, five hundred ninety-six million, one hundred thirty-eight thousand, nine hundred twelve".