125578281830400 has 2304 divisors, whose sum is σ = 538188953702400. Its totient is φ = 28461205094400.

The previous prime is 125578281830387. The next prime is 125578281830401. The reversal of 125578281830400 is 4038182875521.

It is a happy number.

125578281830400 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 7 + 82 + 81 + 83 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 (125578281830401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102680524189 + ... + 102680525411.

It is an arithmetic number, because the mean of its divisors is an integer number (233588955600).

Almost surely, 2^{125578281830400} is an apocalyptic number.

125578281830400 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 125578281830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269094476851200).

125578281830400 is an abundant number, since it is smaller than the sum of its proper divisors (412610671872000).

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

125578281830400 is an equidigital number, since it uses as much as digits as its factorization.

125578281830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1371 counting only the distinct ones).

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

The spelling of 125578281830400 in words is "one hundred twenty-five trillion, five hundred seventy-eight billion, two hundred eighty-one million, eight hundred thirty thousand, four hundred".