190568314759680 has 1920 divisors, whose sum is σ = 808424002552320. Its totient is φ = 42264546508800.

The previous prime is 190568314759649. The next prime is 190568314759729. The reversal of 190568314759680 is 86957413865091.

190568314759680 is a `hidden beast` number, since 1 + 9 + 0 + 5 + 68 + 3 + 1 + 475 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 190568314759599 and 190568314759608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12286003125 + ... + 12286018635.

It is an arithmetic number, because the mean of its divisors is an integer number (421054167996).

Almost surely, 2^{190568314759680} is an apocalyptic number.

190568314759680 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 190568314759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404212001276160).

190568314759680 is an abundant number, since it is smaller than the sum of its proper divisors (617855687792640).

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

190568314759680 is a wasteful number, since it uses less digits than its factorization.

190568314759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15691 (or 15658 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 190568314759680 in words is "one hundred ninety trillion, five hundred sixty-eight billion, three hundred fourteen million, seven hundred fifty-nine thousand, six hundred eighty".