199928137815000 has 1600 divisors, whose sum is σ = 858704368642560. Its totient is φ = 42403253760000.

The previous prime is 199928137814897. The next prime is 199928137815013. The reversal of 199928137815000 is 518731829991.

199928137815000 is a `hidden beast` number, since 1 + 9 + 9 + 92 + 8 + 1 + 37 + 8 + 1 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 3421815787 + ... + 3421874213.

Almost surely, 2^{199928137815000} is an apocalyptic number.

199928137815000 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 199928137815000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429352184321280).

199928137815000 is an abundant number, since it is smaller than the sum of its proper divisors (658776230827560).

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

199928137815000 is a wasteful number, since it uses less digits than its factorization.

199928137815000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58560 (or 58532 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 63.

The spelling of 199928137815000 in words is "one hundred ninety-nine trillion, nine hundred twenty-eight billion, one hundred thirty-seven million, eight hundred fifteen thousand".