25253154040200 has 192 divisors, whose sum is σ = 79385288540160. Its totient is φ = 6640157502720.

The previous prime is 25253154040199. The next prime is 25253154040217. The reversal of 25253154040200 is 204045135252.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11404017 + ... + 13437183.

It is an arithmetic number, because the mean of its divisors is an integer number (413465044480).

Almost surely, 2^{25253154040200} is an apocalyptic number.

25253154040200 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 25253154040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39692644270080).

25253154040200 is an abundant number, since it is smaller than the sum of its proper divisors (54132134499960).

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

25253154040200 is a wasteful number, since it uses less digits than its factorization.

25253154040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033476 (or 2033467 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 25253154040200 its reverse (204045135252), we get a palindrome (25457199175452).

The spelling of 25253154040200 in words is "twenty-five trillion, two hundred fifty-three billion, one hundred fifty-four million, forty thousand, two hundred".