199756245430080 has 672 divisors, whose sum is σ = 735277118138784. Its totient is φ = 49601324777472.

The previous prime is 199756245430019. The next prime is 199756245430129. The reversal of 199756245430080 is 80034542657991.

199756245430080 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 5 + 6 + 2 + 4 + 543 + 0 + 0 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 122581566582336 + 77174678847744 = 11071656^2 + 8784912^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1790949994 + ... + 1791061526.

It is a 1-persistent number, because it is pandigital, but 2⋅199756245430080 = 399512490860160 is not.

Almost surely, 2^{199756245430080} is an apocalyptic number.

199756245430080 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 199756245430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367638559069392).

199756245430080 is an abundant number, since it is smaller than the sum of its proper divisors (535520872708704).

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

199756245430080 is a wasteful number, since it uses less digits than its factorization.

199756245430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111963 (or 111950 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 199756245430080 in words is "one hundred ninety-nine trillion, seven hundred fifty-six billion, two hundred forty-five million, four hundred thirty thousand, eighty".