19946610478080 has 2816 divisors, whose sum is σ = 86998534963200. Its totient is φ = 4303532851200.

The previous prime is 19946610478073. The next prime is 19946610478189. The reversal of 19946610478080 is 8087401664991.

19946610478080 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 6 + 610 + 4 + 7 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a junction number, because it is equal to n+sod(n) for n = 19946610477999 and 19946610478017.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 74150968186 + ... + 74150968454.

Almost surely, 2^{19946610478080} is an apocalyptic number.

19946610478080 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 19946610478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43499267481600).

19946610478080 is an abundant number, since it is smaller than the sum of its proper divisors (67051924485120).

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

19946610478080 is a wasteful number, since it uses less digits than its factorization.

19946610478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 19946610478080 in words is "nineteen trillion, nine hundred forty-six billion, six hundred ten million, four hundred seventy-eight thousand, eighty".