25133851330560 has 3456 divisors, whose sum is σ = 111580287436800. Its totient is φ = 5202247680000.

The previous prime is 25133851330543. The next prime is 25133851330603. The reversal of 25133851330560 is 6503315833152.

25133851330560 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 3 + 8 + 51 + 3 + 30 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 166449346485 + ... + 166449346635.

It is an arithmetic number, because the mean of its divisors is an integer number (32285962800).

Almost surely, 2^{25133851330560} is an apocalyptic number.

25133851330560 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 25133851330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55790143718400).

25133851330560 is an abundant number, since it is smaller than the sum of its proper divisors (86446436106240).

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

25133851330560 is a wasteful number, since it uses less digits than its factorization.

25133851330560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 25133851330560 in words is "twenty-five trillion, one hundred thirty-three billion, eight hundred fifty-one million, three hundred thirty thousand, five hundred sixty".