2596125288960 has 640 divisors, whose sum is σ = 10784212623360. Its totient is φ = 579595419648.

The previous prime is 2596125288859. The next prime is 2596125289073. The reversal of 2596125288960 is 698825216952.

2596125288960 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 12 + 528 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20742729 + ... + 20867511.

It is an arithmetic number, because the mean of its divisors is an integer number (16850332224).

Almost surely, 2^{2596125288960} is an apocalyptic number.

2596125288960 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 2596125288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392106311680).

2596125288960 is an abundant number, since it is smaller than the sum of its proper divisors (8188087334400).

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

2596125288960 is a wasteful number, since it uses less digits than its factorization.

2596125288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124865 (or 124843 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 2596125288960 in words is "two trillion, five hundred ninety-six billion, one hundred twenty-five million, two hundred eighty-eight thousand, nine hundred sixty".