25252960479120 has 960 divisors, whose sum is σ = 99873282700800. Its totient is φ = 5849445888000.

The previous prime is 25252960479083. The next prime is 25252960479127. The reversal of 25252960479120 is 2197406925252.

25252960479120 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 2 + 9 + 604 + 7 + 9 + 1 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (25252960479127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7820673666 + ... + 7820676894.

It is an arithmetic number, because the mean of its divisors is an integer number (104034669480).

Almost surely, 2^{25252960479120} is an apocalyptic number.

25252960479120 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 25252960479120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49936641350400).

25252960479120 is an abundant number, since it is smaller than the sum of its proper divisors (74620322221680).

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

25252960479120 is a wasteful number, since it uses less digits than its factorization.

25252960479120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 25252960479120 in words is "twenty-five trillion, two hundred fifty-two billion, nine hundred sixty million, four hundred seventy-nine thousand, one hundred twenty".