25081402982400 has 960 divisors, whose sum is σ = 93239219763360. Its totient is φ = 6665247129600.

The previous prime is 25081402982381. The next prime is 25081402982423. The reversal of 25081402982400 is 428920418052.

25081402982400 is a `hidden beast` number, since 2 + 5 + 0 + 8 + 140 + 29 + 82 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×25081402982400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 28599090762 + ... + 28599091638.

Almost surely, 2^{25081402982400} is an apocalyptic number.

25081402982400 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 25081402982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46619609881680).

25081402982400 is an abundant number, since it is smaller than the sum of its proper divisors (68157816780960).

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

25081402982400 is an frugal number, since it uses more digits than its factorization.

25081402982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 25081402982400 in words is "twenty-five trillion, eighty-one billion, four hundred two million, nine hundred eighty-two thousand, four hundred".