20017093824 has 672 divisors, whose sum is σ = 74225156096. Its totient is φ = 5016453120.

The previous prime is 20017093823. The next prime is 20017093871. The reversal of 20017093824 is 42839071002.

20017093824 is a `hidden beast` number, since 200 + 1 + 70 + 9 + 382 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20017093823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157614849 + ... + 157614975.

Almost surely, 2^20017093824 is an apocalyptic number.

20017093824 is a gapful number since it is divisible by the number (24) 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 20017093824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37112578048).

20017093824 is an abundant number, since it is smaller than the sum of its proper divisors (54208062272).

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

20017093824 is a wasteful number, since it uses less digits than its factorization.

20017093824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20017093824 in words is "twenty billion, seventeen million, ninety-three thousand, eight hundred twenty-four".