25700641200 has 360 divisors, whose sum is σ = 99060110640. Its totient is φ = 6325862400.

The previous prime is 25700641193. The next prime is 25700641201. The reversal of 25700641200 is 214600752.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×25700641200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (25700641201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1818160 + ... + 1832240.

It is an arithmetic number, because the mean of its divisors is an integer number (275166974).

Almost surely, 2^25700641200 is an apocalyptic number.

25700641200 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 25700641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49530055320).

25700641200 is an abundant number, since it is smaller than the sum of its proper divisors (73359469440).

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

25700641200 is a wasteful number, since it uses less digits than its factorization.

25700641200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14134 (or 14104 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 25700641200 in words is "twenty-five billion, seven hundred million, six hundred forty-one thousand, two hundred".