19946175480 has 640 divisors, whose sum is σ = 88519495680. Its totient is φ = 3900026880.

The previous prime is 19946175409. The next prime is 19946175503. The reversal of 19946175480 is 8457164991.

19946175480 is a `hidden beast` number, since 1 + 9 + 94 + 6 + 1 + 7 + 548 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 4238809 + ... + 4243511.

It is an arithmetic number, because the mean of its divisors is an integer number (138311712).

Almost surely, 2^19946175480 is an apocalyptic number.

19946175480 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 19946175480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44259747840).

19946175480 is an abundant number, since it is smaller than the sum of its proper divisors (68573320200).

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

19946175480 is a wasteful number, since it uses less digits than its factorization.

19946175480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 19946175480 in words is "nineteen billion, nine hundred forty-six million, one hundred seventy-five thousand, four hundred eighty".