125801486400 has 168 divisors, whose sum is σ = 415042319520. Its totient is φ = 33359421440.

The previous prime is 125801486387. The next prime is 125801486423. The reversal of 125801486400 is 4684108521.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785992 + ... + 932408.

Almost surely, 2^125801486400 is an apocalyptic number.

125801486400 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 125801486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207521159760).

125801486400 is an abundant number, since it is smaller than the sum of its proper divisors (289240833120).

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

125801486400 is a wasteful number, since it uses less digits than its factorization.

125801486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146621 (or 146606 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 125801486400 in words is "one hundred twenty-five billion, eight hundred one million, four hundred eighty-six thousand, four hundred".