19954978560 has 360 divisors, whose sum is σ = 77898156336. Its totient is φ = 4837294080.

The previous prime is 19954978553. The next prime is 19954978651. The reversal of 19954978560 is 6587945991.

19954978560 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 497 + 85 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1131732 + ... + 1149228.

Almost surely, 2^19954978560 is an apocalyptic number.

19954978560 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 19954978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38949078168).

19954978560 is an abundant number, since it is smaller than the sum of its proper divisors (57943177776).

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

19954978560 is a wasteful number, since it uses less digits than its factorization.

19954978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17541 (or 17518 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 19954978560 in words is "nineteen billion, nine hundred fifty-four million, nine hundred seventy-eight thousand, five hundred sixty".