25261714400 has 432 divisors, whose sum is σ = 73338274800. Its totient is φ = 8453652480.

The previous prime is 25261714393. The next prime is 25261714421. The reversal of 25261714400 is 441716252.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66653411 + ... + 66653789.

It is an arithmetic number, because the mean of its divisors is an integer number (169764525).

Almost surely, 2^25261714400 is an apocalyptic number.

25261714400 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 25261714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36669137400).

25261714400 is an abundant number, since it is smaller than the sum of its proper divisors (48076560400).

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

25261714400 is a wasteful number, since it uses less digits than its factorization.

25261714400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 25261714400 in words is "twenty-five billion, two hundred sixty-one million, seven hundred fourteen thousand, four hundred".