125826366643200 has 1056 divisors, whose sum is σ = 467036778328320. Its totient is φ = 33194985062400.

The previous prime is 125826366643157. The next prime is 125826366643213. The reversal of 125826366643200 is 2346663628521.

It is a happy number.

It is a super-2 number, since 2×125826366643200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25230871107 + ... + 25230876093.

Almost surely, 2^{125826366643200} is an apocalyptic number.

125826366643200 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 125826366643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233518389164160).

125826366643200 is an abundant number, since it is smaller than the sum of its proper divisors (341210411685120).

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

125826366643200 is a wasteful number, since it uses less digits than its factorization.

125826366643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5410 (or 5381 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 125826366643200 in words is "one hundred twenty-five trillion, eight hundred twenty-six billion, three hundred sixty-six million, six hundred forty-three thousand, two hundred".