20169518400 has 420 divisors, whose sum is σ = 78049607680. Its totient is φ = 5094835200.

The previous prime is 20169518387. The next prime is 20169518491. The reversal of 20169518400 is 481596102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2458305 + ... + 2466495.

Almost surely, 2^20169518400 is an apocalyptic number.

20169518400 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 20169518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39024803840).

20169518400 is an abundant number, since it is smaller than the sum of its proper divisors (57880089280).

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

20169518400 is a wasteful number, since it uses less digits than its factorization.

20169518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8244 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 20169518400 in words is "twenty billion, one hundred sixty-nine million, five hundred eighteen thousand, four hundred".