25425350496 has 1008 divisors, whose sum is σ = 98909067600. Its totient is φ = 6364624896.

The previous prime is 25425350477. The next prime is 25425350527. The reversal of 25425350496 is 69405352452.

25425350496 = 190³ + 191³ + ... + 566³.

25425350496 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 53 + 504 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 430938115 + ... + 430938173.

It is an arithmetic number, because the mean of its divisors is an integer number (98124075).

Almost surely, 2^25425350496 is an apocalyptic number.

25425350496 is a gapful number since it is divisible by the number (26) 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 25425350496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49454533800).

25425350496 is an abundant number, since it is smaller than the sum of its proper divisors (73483717104).

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

25425350496 is a wasteful number, since it uses less digits than its factorization.

25425350496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 25425350496 in words is "twenty-five billion, four hundred twenty-five million, three hundred fifty thousand, four hundred ninety-six".