25378293600 has 1152 divisors, whose sum is σ = 108803036160. Its totient is φ = 5640192000.

The previous prime is 25378293553. The next prime is 25378293601. The reversal of 25378293600 is 639287352.

25378293600 is a `hidden beast` number, since 2 + 5 + 37 + 8 + 2 + 9 + 3 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25378293601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 246391149 + ... + 246391251.

It is an arithmetic number, because the mean of its divisors is an integer number (94447080).

Almost surely, 2^25378293600 is an apocalyptic number.

25378293600 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 25378293600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54401518080).

25378293600 is an abundant number, since it is smaller than the sum of its proper divisors (83424742560).

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

25378293600 is a wasteful number, since it uses less digits than its factorization.

25378293600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 25378293600 in words is "twenty-five billion, three hundred seventy-eight million, two hundred ninety-three thousand, six hundred".