25204400640000 has 1300 divisors, whose sum is σ = 94716795301524. Its totient is φ = 6676217856000.

The previous prime is 25204400639917. The next prime is 25204400640031. The reversal of 25204400640000 is 4600440252.

25204400640000 is a `hidden beast` number, since 252 + 0 + 4 + 4 + 0 + 0 + 6 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 19072715341824 + 6131685298176 = 4367232^2 + 2476224^2 .

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 (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 40849919692 + ... + 40849920308.

Almost surely, 2^{25204400640000} is an apocalyptic number.

25204400640000 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 25204400640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47358397650762).

25204400640000 is an abundant number, since it is smaller than the sum of its proper divisors (69512394661524).

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

25204400640000 is an frugal number, since it uses more digits than its factorization.

25204400640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 25204400640000 in words is "twenty-five trillion, two hundred four billion, four hundred million, six hundred forty thousand".