25455765749760 has 1760 divisors, whose sum is σ = 101291008164192. Its totient is φ = 6088116142080.

The previous prime is 25455765749759. The next prime is 25455765749773. The reversal of 25455765749760 is 6794756755452.

25455765749760 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 5 + 76 + 5 + 7 + 497 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 591994552299 + ... + 591994552341.

Almost surely, 2^{25455765749760} is an apocalyptic number.

25455765749760 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 25455765749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50645504082096).

25455765749760 is an abundant number, since it is smaller than the sum of its proper divisors (75835242414432).

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

25455765749760 is an frugal number, since it uses more digits than its factorization.

25455765749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2222640000, while the sum is 72.

The spelling of 25455765749760 in words is "twenty-five trillion, four hundred fifty-five billion, seven hundred sixty-five million, seven hundred forty-nine thousand, seven hundred sixty".