25404013152 has 432 divisors, whose sum is σ = 88659606672. Its totient is φ = 7132769280.

The previous prime is 25404013133. The next prime is 25404013241. The reversal of 25404013152 is 25131040452.

25404013152 is a `hidden beast` number, since 2 + 540 + 40 + 1 + 31 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23241918 + ... + 23243010.

It is an arithmetic number, because the mean of its divisors is an integer number (205230571).

Almost surely, 2^25404013152 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 25404013152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44329803336).

25404013152 is an abundant number, since it is smaller than the sum of its proper divisors (63255593520).

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

25404013152 is a wasteful number, since it uses less digits than its factorization.

25404013152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 25404013152 in words is "twenty-five billion, four hundred four million, thirteen thousand, one hundred fifty-two".