20093193120 has 1536 divisors, whose sum is σ = 93640458240. Its totient is φ = 3483648000.

The previous prime is 20093193097. The next prime is 20093193157. The reversal of 20093193120 is 2139139002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 283002685 + ... + 283002755.

It is an arithmetic number, because the mean of its divisors is an integer number (60963840).

Almost surely, 2^20093193120 is an apocalyptic number.

20093193120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20093193120 is the 81840-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20093193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46820229120).

20093193120 is an abundant number, since it is smaller than the sum of its proper divisors (73547265120).

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

20093193120 is a wasteful number, since it uses less digits than its factorization.

20093193120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The spelling of 20093193120 in words is "twenty billion, ninety-three million, one hundred ninety-three thousand, one hundred twenty".