190997150745600 has 1584 divisors, whose sum is σ = 728334469324800. Its totient is φ = 47741026959360.

The previous prime is 190997150745563. The next prime is 190997150745607. The reversal of 190997150745600 is 6547051799091.

190997150745600 is a `hidden beast` number, since 1 + 9 + 0 + 9 + 9 + 7 + 15 + 0 + 7 + 4 + 5 + 600 = 666.

It is not an unprimeable number, because it can be changed into a prime (190997150745607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39882468006 + ... + 39882472794.

Almost surely, 2^{190997150745600} is an apocalyptic number.

190997150745600 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 190997150745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364167234662400).

190997150745600 is an abundant number, since it is smaller than the sum of its proper divisors (537337318579200).

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

190997150745600 is a wasteful number, since it uses less digits than its factorization.

190997150745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 63.

The spelling of 190997150745600 in words is "one hundred ninety trillion, nine hundred ninety-seven billion, one hundred fifty million, seven hundred forty-five thousand, six hundred".