20744168000 has 112 divisors (see below), whose sum is σ = 51603761664. Its totient is φ = 8260390400.

The previous prime is 20744167987. The next prime is 20744168017. The reversal of 20744168000 is 86144702.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1810289 + ... + 1821711.

It is an arithmetic number, because the mean of its divisors is an integer number (460747872).

Almost surely, 2^20744168000 is an apocalyptic number.

20744168000 is a gapful number since it is divisible by the number (20) 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 20744168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25801880832).

20744168000 is an abundant number, since it is smaller than the sum of its proper divisors (30859593664).

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

20744168000 is a wasteful number, since it uses less digits than its factorization.

20744168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11677 (or 11657 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 20744168000 in words is "twenty billion, seven hundred forty-four million, one hundred sixty-eight thousand".