2125307935296 has 1344 divisors, whose sum is σ = 8184086776320. Its totient is φ = 511678218240.

The previous prime is 2125307935279. The next prime is 2125307935321. The reversal of 2125307935296 is 6925397035212.

2125307935296 is a `hidden beast` number, since 2 + 1 + 2 + 530 + 79 + 35 + 2 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5048237166 + ... + 5048237586.

It is an arithmetic number, because the mean of its divisors is an integer number (6089350280).

Almost surely, 2^{2125307935296} is an apocalyptic number.

2125307935296 is a gapful number since it is divisible by the number (26) 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 2125307935296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092043388160).

2125307935296 is an abundant number, since it is smaller than the sum of its proper divisors (6058778841024).

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

2125307935296 is a wasteful number, since it uses less digits than its factorization.

2125307935296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

It can be divided in two parts, 2125307 and 935296, that added together give a palindrome (3060603).

The spelling of 2125307935296 in words is "two trillion, one hundred twenty-five billion, three hundred seven million, nine hundred thirty-five thousand, two hundred ninety-six".