25290621058560 has 2560 divisors, whose sum is σ = 106713585893376. Its totient is φ = 5011144704000.

The previous prime is 25290621058553. The next prime is 25290621058609. The reversal of 25290621058560 is 6585012609252.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21414581170 + ... + 21414582350.

Almost surely, 2^{25290621058560} is an apocalyptic number.

25290621058560 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 25290621058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53356792946688).

25290621058560 is an abundant number, since it is smaller than the sum of its proper divisors (81422964834816).

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

25290621058560 is a wasteful number, since it uses less digits than its factorization.

25290621058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The spelling of 25290621058560 in words is "twenty-five trillion, two hundred ninety billion, six hundred twenty-one million, fifty-eight thousand, five hundred sixty".