125811909100800 has 1944 divisors, whose sum is σ = 503766130107240. Its totient is φ = 29761103462400.

The previous prime is 125811909100753. The next prime is 125811909100819. The reversal of 125811909100800 is 8001909118521.

It can be written as a sum of positive squares in 36 ways, for example, as 120163339305216 + 5648569795584 = 10961904^2 + 2376672^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 163604562816 + ... + 163604563584.

Almost surely, 2^{125811909100800} is an apocalyptic number.

125811909100800 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 125811909100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251883065053620).

125811909100800 is an abundant number, since it is smaller than the sum of its proper divisors (377954221006440).

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

125811909100800 is a wasteful number, since it uses less digits than its factorization.

125811909100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 45.

The spelling of 125811909100800 in words is "one hundred twenty-five trillion, eight hundred eleven billion, nine hundred nine million, one hundred thousand, eight hundred".