25478914500 has 672 divisors, whose sum is σ = 94911573120. Its totient is φ = 5920646400.

The previous prime is 25478914471. The next prime is 25478914529. The reversal of 25478914500 is 541987452.

25478914500 is a `hidden beast` number, since 2 + 54 + 7 + 8 + 91 + 4 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (25478914471) and next prime (25478914529).

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 223 ways as a sum of consecutive naturals, for example, 90031359 + ... + 90031641.

It is an arithmetic number, because the mean of its divisors is an integer number (141237460).

Almost surely, 2^25478914500 is an apocalyptic number.

25478914500 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 25478914500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47455786560).

25478914500 is an abundant number, since it is smaller than the sum of its proper divisors (69432658620).

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

25478914500 is a wasteful number, since it uses less digits than its factorization.

25478914500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 25478914500 in words is "twenty-five billion, four hundred seventy-eight million, nine hundred fourteen thousand, five hundred".