125643117600 has 2160 divisors, whose sum is σ = 622732017600. Its totient is φ = 23937638400.

The previous prime is 125643117577. The next prime is 125643117623. The reversal of 125643117600 is 6711346521.

125643117600 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 4 + 31 + 17 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (125643117577) and next prime (125643117623).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 843242326 + ... + 843242474.

It is an arithmetic number, because the mean of its divisors is an integer number (288301860).

Almost surely, 2^125643117600 is an apocalyptic number.

125643117600 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 125643117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311366008800).

125643117600 is an abundant number, since it is smaller than the sum of its proper divisors (497088900000).

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

125643117600 is a wasteful number, since it uses less digits than its factorization.

125643117600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 125643117600 in words is "one hundred twenty-five billion, six hundred forty-three million, one hundred seventeen thousand, six hundred".