2559396265272 has 96 divisors (see below), whose sum is σ = 8642117278080. Its totient is φ = 664778249280.

The previous prime is 2559396265271. The next prime is 2559396265277. The reversal of 2559396265272 is 2725626939552.

It is a happy number.

2559396265272 is a `hidden beast` number, since 2 + 5 + 59 + 39 + 6 + 26 + 527 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2559396265271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230820238 + ... + 230831325.

It is an arithmetic number, because the mean of its divisors is an integer number (90022054980).

Almost surely, 2^{2559396265272} is an apocalyptic number.

2559396265272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2559396265272 is an abundant number, since it is smaller than the sum of its proper divisors (6082721012808).

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

2559396265272 is a wasteful number, since it uses less digits than its factorization.

2559396265272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461651593 (or 461651586 counting only the distinct ones).

The product of its digits is 122472000, while the sum is 63.

The spelling of 2559396265272 in words is "two trillion, five hundred fifty-nine billion, three hundred ninety-six million, two hundred sixty-five thousand, two hundred seventy-two".