193431997920 has 192 divisors, whose sum is σ = 696596544000. Its totient is φ = 44197705728.

The previous prime is 193431997823. The next prime is 193431997931. The reversal of 193431997920 is 29799134391.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11748414 + ... + 11764866.

It is an arithmetic number, because the mean of its divisors is an integer number (3628107000).

Almost surely, 2^193431997920 is an apocalyptic number.

193431997920 is a gapful number since it is divisible by the number (10) 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 193431997920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348298272000).

193431997920 is an abundant number, since it is smaller than the sum of its proper divisors (503164546080).

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

193431997920 is a wasteful number, since it uses less digits than its factorization.

193431997920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19977 (or 19969 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 57.

The spelling of 193431997920 in words is "one hundred ninety-three billion, four hundred thirty-one million, nine hundred ninety-seven thousand, nine hundred twenty".