25429760352 has 384 divisors, whose sum is σ = 81909273600. Its totient is φ = 7639769088.

The previous prime is 25429760339. The next prime is 25429760387. The reversal of 25429760352 is 25306792452.

25429760352 is a `hidden beast` number, since 2 + 5 + 4 + 297 + 6 + 0 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25429760298 and 25429760307.

It is a congruent number.

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, 96690973 + ... + 96691235.

It is an arithmetic number, because the mean of its divisors is an integer number (213305400).

Almost surely, 2^25429760352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25429760352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40954636800).

25429760352 is an abundant number, since it is smaller than the sum of its proper divisors (56479513248).

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

25429760352 is a wasteful number, since it uses less digits than its factorization.

25429760352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 25429760352 in words is "twenty-five billion, four hundred twenty-nine million, seven hundred sixty thousand, three hundred fifty-two".