25201021045200 has 1440 divisors, whose sum is σ = 109376876598528. Its totient is φ = 4826389708800.

The previous prime is 25201021045181. The next prime is 25201021045253. The reversal of 25201021045200 is 254012010252.

It is a super-2 number, since 2×25201021045200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13173559444 + ... + 13173561356.

Almost surely, 2^{25201021045200} is an apocalyptic number.

25201021045200 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 25201021045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54688438299264).

25201021045200 is an abundant number, since it is smaller than the sum of its proper divisors (84175855553328).

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

25201021045200 is a wasteful number, since it uses less digits than its factorization.

25201021045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 25201021045200 its reverse (254012010252), we get a palindrome (25455033055452).

The spelling of 25201021045200 in words is "twenty-five trillion, two hundred one billion, twenty-one million, forty-five thousand, two hundred".