13025464200 has 720 divisors, whose sum is σ = 53686937700. Its totient is φ = 2917555200.

The previous prime is 13025464189. The next prime is 13025464219. The reversal of 13025464200 is 246452031.

13025464200 is a `hidden beast` number, since 13 + 0 + 2 + 5 + 4 + 642 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 80030916 + 12945433284 = 8946^2 + 113778^2 .

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

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 179 ways as a sum of consecutive naturals, for example, 48421666 + ... + 48421934.

Almost surely, 2^13025464200 is an apocalyptic number.

13025464200 is a gapful number since it is divisible by the number (10) 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 13025464200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26843468850).

13025464200 is an abundant number, since it is smaller than the sum of its proper divisors (40661473500).

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

13025464200 is a wasteful number, since it uses less digits than its factorization.

13025464200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 13025464200 in words is "thirteen billion, twenty-five million, four hundred sixty-four thousand, two hundred".