199625083056 has 480 divisors, whose sum is σ = 669197168640. Its totient is φ = 54371520000.

The previous prime is 199625083003. The next prime is 199625083121. The reversal of 199625083056 is 650380526991.

It is a happy number.

199625083056 is a `hidden beast` number, since 1 + 9 + 9 + 625 + 0 + 8 + 3 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×199625083056² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 199625082993 and 199625083011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 641881141 + ... + 641881451.

It is an arithmetic number, because the mean of its divisors is an integer number (1394160768).

Almost surely, 2^199625083056 is an apocalyptic number.

199625083056 is a gapful number since it is divisible by the number (16) 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 199625083056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334598584320).

199625083056 is an abundant number, since it is smaller than the sum of its proper divisors (469572085584).

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

199625083056 is a wasteful number, since it uses less digits than its factorization.

199625083056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 199625083056 in words is "one hundred ninety-nine billion, six hundred twenty-five million, eighty-three thousand, fifty-six".