25839290400 has 576 divisors, whose sum is σ = 107723105280. Its totient is φ = 5222707200.

The previous prime is 25839290359. The next prime is 25839290441. The reversal of 25839290400 is 409293852.

It is an interprime number because it is at equal distance from previous prime (25839290359) and next prime (25839290441).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6835711 + ... + 6839489.

It is an arithmetic number, because the mean of its divisors is an integer number (187019280).

Almost surely, 2^25839290400 is an apocalyptic number.

25839290400 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 25839290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53861552640).

25839290400 is an abundant number, since it is smaller than the sum of its proper divisors (81883814880).

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

25839290400 is a wasteful number, since it uses less digits than its factorization.

25839290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 25839290400 in words is "twenty-five billion, eight hundred thirty-nine million, two hundred ninety thousand, four hundred".