25204901449728 has 3328 divisors, whose sum is σ = 101456216064000. Its totient is φ = 5462360064000.

The previous prime is 25204901449661. The next prime is 25204901449751. The reversal of 25204901449728 is 82794410940252.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a super-2 number, since 2×25204901449728² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 354998611933 + ... + 354998612003.

Almost surely, 2^{25204901449728} is an apocalyptic number.

25204901449728 is a gapful number since it is divisible by the number (28) 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 25204901449728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50728108032000).

25204901449728 is an abundant number, since it is smaller than the sum of its proper divisors (76251314614272).

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

25204901449728 is a wasteful number, since it uses less digits than its factorization.

25204901449728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 25204901449728 in words is "twenty-five trillion, two hundred four billion, nine hundred one million, four hundred forty-nine thousand, seven hundred twenty-eight".