107572050000 has 300 divisors, whose sum is σ = 389170646172. Its totient is φ = 28684800000.

The previous prime is 107572049989. The next prime is 107572050007. The reversal of 107572050000 is 50275701.

107572050000 is a `hidden beast` number, since 107 + 57 + 2 + 0 + 500 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 70032212496 + 37539837504 = 264636^2 + 193752^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107572050007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4036720 + ... + 4063280.

Almost surely, 2^107572050000 is an apocalyptic number.

107572050000 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 107572050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194585323086).

107572050000 is an abundant number, since it is smaller than the sum of its proper divisors (281598596172).

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

107572050000 is an frugal number, since it uses more digits than its factorization.

107572050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26606 (or 26571 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The spelling of 107572050000 in words is "one hundred seven billion, five hundred seventy-two million, fifty thousand".