19826048160 has 384 divisors, whose sum is σ = 70692652800. Its totient is φ = 5188976640.

The previous prime is 19826048147. The next prime is 19826048167. The reversal of 19826048160 is 6184062891.

19826048160 is a `hidden beast` number, since 1 + 98 + 26 + 0 + 481 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19826048167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82265640 + ... + 82265880.

It is an arithmetic number, because the mean of its divisors is an integer number (184095450).

Almost surely, 2^19826048160 is an apocalyptic number.

19826048160 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 19826048160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35346326400).

19826048160 is an abundant number, since it is smaller than the sum of its proper divisors (50866604640).

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

19826048160 is a wasteful number, since it uses less digits than its factorization.

19826048160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 19826048160 in words is "nineteen billion, eight hundred twenty-six million, forty-eight thousand, one hundred sixty".