25539494400 has 1680 divisors, whose sum is σ = 119792939904. Its totient is φ = 5255331840.

The previous prime is 25539494371. The next prime is 25539494441. The reversal of 25539494400 is 449493552.

25539494400 is a `hidden beast` number, since 2 + 553 + 9 + 4 + 94 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1110412789 + ... + 1110412811.

Almost surely, 2^25539494400 is an apocalyptic number.

25539494400 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 25539494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59896469952).

25539494400 is an abundant number, since it is smaller than the sum of its proper divisors (94253445504).

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

25539494400 is an equidigital number, since it uses as much as digits as its factorization.

25539494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 25539494400 in words is "twenty-five billion, five hundred thirty-nine million, four hundred ninety-four thousand, four hundred".