25026456000 has 672 divisors, whose sum is σ = 103586962752. Its totient is φ = 5277081600.

The previous prime is 25026455981. The next prime is 25026456073. The reversal of 25026456000 is 65462052.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 15287182 + ... + 15288818.

It is an arithmetic number, because the mean of its divisors is an integer number (154147266).

Almost surely, 2^25026456000 is an apocalyptic number.

25026456000 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 25026456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51793481376).

25026456000 is an abundant number, since it is smaller than the sum of its proper divisors (78560506752).

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

25026456000 is a wasteful number, since it uses less digits than its factorization.

25026456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 25026456000 in words is "twenty-five billion, twenty-six million, four hundred fifty-six thousand".