19478914560 has 640 divisors, whose sum is σ = 79949168640. Its totient is φ = 4403331072.

The previous prime is 19478914529. The next prime is 19478914571. The reversal of 19478914560 is 6541987491.

19478914560 is a `hidden beast` number, since 1 + 9 + 4 + 78 + 9 + 1 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×19478914560² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 19478914497 and 19478914506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61447522 + ... + 61447838.

It is an arithmetic number, because the mean of its divisors is an integer number (124920576).

Almost surely, 2^19478914560 is an apocalyptic number.

19478914560 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 19478914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39974584320).

19478914560 is an abundant number, since it is smaller than the sum of its proper divisors (60470254080).

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

19478914560 is a wasteful number, since it uses less digits than its factorization.

19478914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 461 counting only the distinct ones).

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

The spelling of 19478914560 in words is "nineteen billion, four hundred seventy-eight million, nine hundred fourteen thousand, five hundred sixty".