25147149200 has 120 divisors (see below), whose sum is σ = 61436960640. Its totient is φ = 9889689600.

The previous prime is 25147149187. The next prime is 25147149221. The reversal of 25147149200 is 294174152.

It is a super-2 number, since 2×25147149200² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12466592 + ... + 12468608.

It is an arithmetic number, because the mean of its divisors is an integer number (511974672).

Almost surely, 2^25147149200 is an apocalyptic number.

25147149200 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 25147149200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30718480320).

25147149200 is an abundant number, since it is smaller than the sum of its proper divisors (36289811440).

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

25147149200 is a wasteful number, since it uses less digits than its factorization.

25147149200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 25147149200 in words is "twenty-five billion, one hundred forty-seven million, one hundred forty-nine thousand, two hundred".