25198387200 has 1260 divisors, whose sum is σ = 112089602592. Its totient is φ = 5573836800.

The previous prime is 25198387189. The next prime is 25198387213. The reversal of 25198387200 is 278389152.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-2 number, since 2×25198387200² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 812851185 + ... + 812851215.

Almost surely, 2^25198387200 is an apocalyptic number.

25198387200 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 25198387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56044801296).

25198387200 is an abundant number, since it is smaller than the sum of its proper divisors (86891215392).

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

25198387200 is an equidigital number, since it uses as much as digits as its factorization.

25198387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

It can be divided in two parts, 25 and 198387200, that added together give a square (198387225 = 14085²).

The spelling of 25198387200 in words is "twenty-five billion, one hundred ninety-eight million, three hundred eighty-seven thousand, two hundred".