125821830758400 has 1224 divisors, whose sum is σ = 537512733888000. Its totient is φ = 27508353269760.

The previous prime is 125821830758381. The next prime is 125821830758401. The reversal of 125821830758400 is 4857038128521.

It is a happy number.

125821830758400 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 2 + 183 + 0 + 7 + 58 + 400 = 666.

It is a super-2 number, since 2×125821830758400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125821830758401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2374015101 + ... + 2374068099.

Almost surely, 2^{125821830758400} is an apocalyptic number.

125821830758400 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 125821830758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268756366944000).

125821830758400 is an abundant number, since it is smaller than the sum of its proper divisors (411690903129600).

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

125821830758400 is an equidigital number, since it uses as much as digits as its factorization.

125821830758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53077 (or 53039 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 125821830758400 in words is "one hundred twenty-five trillion, eight hundred twenty-one billion, eight hundred thirty million, seven hundred fifty-eight thousand, four hundred".