25292968200 has 384 divisors, whose sum is σ = 90660864000. Its totient is φ = 6474297600.

The previous prime is 25292968171. The next prime is 25292968213. The reversal of 25292968200 is 286929252.

It is a super-3 number, since 3×25292968200³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23268057 + ... + 23269143.

It is an arithmetic number, because the mean of its divisors is an integer number (236096000).

Almost surely, 2^25292968200 is an apocalyptic number.

25292968200 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 25292968200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45330432000).

25292968200 is an abundant number, since it is smaller than the sum of its proper divisors (65367895800).

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

25292968200 is a wasteful number, since it uses less digits than its factorization.

25292968200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 25292968200 in words is "twenty-five billion, two hundred ninety-two million, nine hundred sixty-eight thousand, two hundred".