25458048000 has 1584 divisors, whose sum is σ = 119259006048. Its totient is φ = 5160960000.

The previous prime is 25458047971. The next prime is 25458048043. The reversal of 25458048000 is 84085452.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×25458048000² (a number of 22 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 620927980 + ... + 620928020.

Almost surely, 2^25458048000 is an apocalyptic number.

25458048000 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 25458048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59629503024).

25458048000 is an abundant number, since it is smaller than the sum of its proper divisors (93800958048).

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

25458048000 is a wasteful number, since it uses less digits than its factorization.

25458048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 25458048000 in words is "twenty-five billion, four hundred fifty-eight million, forty-eight thousand".