125783949600 has 288 divisors, whose sum is σ = 458510653440. Its totient is φ = 33277547520.

The previous prime is 125783949589. The next prime is 125783949607. The reversal of 125783949600 is 6949387521.

125783949600 is a `hidden beast` number, since 1 + 2 + 578 + 3 + 9 + 4 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (125783949607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2720274 + ... + 2766126.

It is an arithmetic number, because the mean of its divisors is an integer number (1592050880).

It is a 1-persistent number, because it is pandigital, but 2⋅125783949600 = 251567899200 is not.

Almost surely, 2^125783949600 is an apocalyptic number.

125783949600 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 125783949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229255326720).

125783949600 is an abundant number, since it is smaller than the sum of its proper divisors (332726703840).

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

125783949600 is a wasteful number, since it uses less digits than its factorization.

125783949600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46009 (or 45990 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 125783949600 in words is "one hundred twenty-five billion, seven hundred eighty-three million, nine hundred forty-nine thousand, six hundred".