25088420700 has 648 divisors, whose sum is σ = 97056121344. Its totient is φ = 5299430400.

The previous prime is 25088420699. The next prime is 25088420717. The reversal of 25088420700 is 702488052.

It is a happy number.

25088420700 is a `hidden beast` number, since 2 + 508 + 84 + 2 + 0 + 70 + 0 = 666.

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 243576849 + ... + 243576951.

Almost surely, 2^25088420700 is an apocalyptic number.

25088420700 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 25088420700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48528060672).

25088420700 is an abundant number, since it is smaller than the sum of its proper divisors (71967700644).

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

25088420700 is a wasteful number, since it uses less digits than its factorization.

25088420700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 25088420700 in words is "twenty-five billion, eighty-eight million, four hundred twenty thousand, seven hundred".