2525261598720 has 1456 divisors, whose sum is σ = 10557671106432. Its totient is φ = 567575838720.

The previous prime is 2525261598697. The next prime is 2525261598757. The reversal of 2525261598720 is 278951625252.

2525261598720 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 26 + 1 + 598 + 7 + 20 = 666.

It is a super-2 number, since 2×2525261598720² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7629188955 + ... + 7629189285.

Almost surely, 2^{2525261598720} is an apocalyptic number.

2525261598720 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 2525261598720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5278835553216).

2525261598720 is an abundant number, since it is smaller than the sum of its proper divisors (8032409507712).

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

2525261598720 is an frugal number, since it uses more digits than its factorization.

2525261598720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 2525261598720 in words is "two trillion, five hundred twenty-five billion, two hundred sixty-one million, five hundred ninety-eight thousand, seven hundred twenty".