125169782400 has 432 divisors, whose sum is σ = 483652579410. Its totient is φ = 30809825280.

The previous prime is 125169782399. The next prime is 125169782411. The reversal of 125169782400 is 4287961521.

125169782400 is a `hidden beast` number, since 1 + 2 + 5 + 169 + 7 + 82 + 400 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 1023488064 + 124146294336 = 31992^2 + 352344^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4854342 + ... + 4880058.

Almost surely, 2^125169782400 is an apocalyptic number.

125169782400 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 125169782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241826289705).

125169782400 is an abundant number, since it is smaller than the sum of its proper divisors (358482797010).

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

125169782400 is a wasteful number, since it uses less digits than its factorization.

125169782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25773 (or 25740 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 125169782400 in words is "one hundred twenty-five billion, one hundred sixty-nine million, seven hundred eighty-two thousand, four hundred".