25725333352752 has 320 divisors, whose sum is σ = 83171438592000. Its totient is φ = 7542376300800.

The previous prime is 25725333352723. The next prime is 25725333352769.

25725333352752 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 5 + 33 + 33 + 527 + 52 = 666.

25725333352752 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25725333352752² (a number of 28 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 63 ways as a sum of consecutive naturals, for example, 745234149 + ... + 745268667.

It is an arithmetic number, because the mean of its divisors is an integer number (259910745600).

Almost surely, 2^{25725333352752} is an apocalyptic number.

25725333352752 is a gapful number since it is divisible by the number (22) 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 25725333352752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41585719296000).

25725333352752 is an abundant number, since it is smaller than the sum of its proper divisors (57446105239248).

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

25725333352752 is a wasteful number, since it uses less digits than its factorization.

25725333352752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39637 (or 39625 counting only the distinct ones).

The product of its digits is 39690000, while the sum is 54.

The spelling of 25725333352752 in words is "twenty-five trillion, seven hundred twenty-five billion, three hundred thirty-three million, three hundred fifty-two thousand, seven hundred fifty-two".