25250451408 has 400 divisors, whose sum is σ = 90411463296. Its totient is φ = 6625152000.

The previous prime is 25250451397. The next prime is 25250451419. The reversal of 25250451408 is 80415405252.

25250451408 is a `hidden beast` number, since 2 + 5 + 2 + 504 + 5 + 140 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (25250451397) and next prime (25250451419).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 29601510 + ... + 29602362.

Almost surely, 2^25250451408 is an apocalyptic number.

25250451408 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 25250451408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45205731648).

25250451408 is an abundant number, since it is smaller than the sum of its proper divisors (65161011888).

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

25250451408 is a wasteful number, since it uses less digits than its factorization.

25250451408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 25250451408 in words is "twenty-five billion, two hundred fifty million, four hundred fifty-one thousand, four hundred eight".