25729460352 has 384 divisors, whose sum is σ = 80380569600. Its totient is φ = 8099481600.

The previous prime is 25729460329. The next prime is 25729460363. The reversal of 25729460352 is 25306492752.

25729460352 is a `hidden beast` number, since 2 + 5 + 7 + 294 + 6 + 0 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 25729460298 and 25729460307.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202594113 + ... + 202594239.

It is an arithmetic number, because the mean of its divisors is an integer number (209324400).

Almost surely, 2^25729460352 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 25729460352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40190284800).

25729460352 is an abundant number, since it is smaller than the sum of its proper divisors (54651109248).

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

25729460352 is a wasteful number, since it uses less digits than its factorization.

25729460352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 224 counting only the distinct ones).

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

The spelling of 25729460352 in words is "twenty-five billion, seven hundred twenty-nine million, four hundred sixty thousand, three hundred fifty-two".