20393493120 has 1536 divisors, whose sum is σ = 98802063360. Its totient is φ = 3881779200.

The previous prime is 20393493119. The next prime is 20393493139. The reversal of 20393493120 is 2139439302.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155675455 + ... + 155675585.

It is an arithmetic number, because the mean of its divisors is an integer number (64324260).

Almost surely, 2^20393493120 is an apocalyptic number.

20393493120 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 20393493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49401031680).

20393493120 is an abundant number, since it is smaller than the sum of its proper divisors (78408570240).

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

20393493120 is a wasteful number, since it uses less digits than its factorization.

20393493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 20393493120 in words is "twenty billion, three hundred ninety-three million, four hundred ninety-three thousand, one hundred twenty".