25709270400 has 960 divisors, whose sum is σ = 105781800960. Its totient is φ = 6096384000.

The previous prime is 25709270383. The next prime is 25709270417. The reversal of 25709270400 is 407290752.

It is an interprime number because it is at equal distance from previous prime (25709270383) and next prime (25709270417).

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 202435137 + ... + 202435263.

It is an arithmetic number, because the mean of its divisors is an integer number (110189376).

Almost surely, 2^25709270400 is an apocalyptic number.

25709270400 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 25709270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52890900480).

25709270400 is an abundant number, since it is smaller than the sum of its proper divisors (80072530560).

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

25709270400 is a wasteful number, since it uses less digits than its factorization.

25709270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 25709270400 in words is "twenty-five billion, seven hundred nine million, two hundred seventy thousand, four hundred".