25420348800 has 768 divisors, whose sum is σ = 116017574400. Its totient is φ = 5280768000.

The previous prime is 25420348753. The next prime is 25420348823. The reversal of 25420348800 is 884302452.

25420348800 is a `hidden beast` number, since 2 + 542 + 0 + 34 + 8 + 80 + 0 = 666.

It is a super-2 number, since 2×25420348800² (a number of 22 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6650890 + ... + 6654710.

It is an arithmetic number, because the mean of its divisors is an integer number (151064550).

Almost surely, 2^25420348800 is an apocalyptic number.

25420348800 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 25420348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58008787200).

25420348800 is an abundant number, since it is smaller than the sum of its proper divisors (90597225600).

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

25420348800 is a wasteful number, since it uses less digits than its factorization.

25420348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 25420348800 in words is "twenty-five billion, four hundred twenty million, three hundred forty-eight thousand, eight hundred".