125860996800 has 1344 divisors, whose sum is σ = 578054906880. Its totient is φ = 25878528000.

The previous prime is 125860996787. The next prime is 125860996801. The reversal of 125860996800 is 8699068521.

It is a happy number.

125860996800 is a `hidden beast` number, since 1 + 25 + 8 + 609 + 9 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×125860996800² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (125860996801) 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 191 ways as a sum of consecutive naturals, for example, 522244680 + ... + 522244920.

Almost surely, 2^125860996800 is an apocalyptic number.

125860996800 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 125860996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289027453440).

125860996800 is an abundant number, since it is smaller than the sum of its proper divisors (452193910080).

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

125860996800 is a wasteful number, since it uses less digits than its factorization.

125860996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 125860996800 in words is "one hundred twenty-five billion, eight hundred sixty million, nine hundred ninety-six thousand, eight hundred".