25001268364800 has 1440 divisors, whose sum is σ = 113566191298560. Its totient is φ = 5274906624000.

The previous prime is 25001268364739. The next prime is 25001268364801. The reversal of 25001268364800 is 846386210052.

25001268364800 is a `hidden beast` number, since 2 + 500 + 1 + 2 + 6 + 8 + 3 + 64 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (25001268364801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 408814225 + ... + 408875375.

It is an arithmetic number, because the mean of its divisors is an integer number (78865410624).

Almost surely, 2^{25001268364800} is an apocalyptic number.

25001268364800 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 25001268364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56783095649280).

25001268364800 is an abundant number, since it is smaller than the sum of its proper divisors (88564922933760).

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

25001268364800 is a wasteful number, since it uses less digits than its factorization.

25001268364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61221 (or 61181 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 25001268364800 in words is "twenty-five trillion, one billion, two hundred sixty-eight million, three hundred sixty-four thousand, eight hundred".