194979086772480 has 864 divisors, whose sum is σ = 747050884433280. Its totient is φ = 48133548933120.

The previous prime is 194979086772451. The next prime is 194979086772521. The reversal of 194979086772480 is 84277680979491.

194979086772480 is a `hidden beast` number, since 1 + 9 + 4 + 9 + 7 + 9 + 0 + 8 + 67 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 194979086772480.

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 95 ways as a sum of consecutive naturals, for example, 609098227 + ... + 609418253.

Almost surely, 2^{194979086772480} is an apocalyptic number.

194979086772480 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 194979086772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373525442216640).

194979086772480 is an abundant number, since it is smaller than the sum of its proper divisors (552071797660800).

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

194979086772480 is a wasteful number, since it uses less digits than its factorization.

194979086772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320152 (or 320115 counting only the distinct ones).

The product of its (nonzero) digits is 3072577536, while the sum is 81.

The spelling of 194979086772480 in words is "one hundred ninety-four trillion, nine hundred seventy-nine billion, eighty-six million, seven hundred seventy-two thousand, four hundred eighty".