197781503920 has 640 divisors, whose sum is σ = 643818792960. Its totient is φ = 54521856000.

The previous prime is 197781503893. The next prime is 197781503923. The reversal of 197781503920 is 29305187791.

197781503920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (197781503923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 193713010 + ... + 193714030.

It is an arithmetic number, because the mean of its divisors is an integer number (1005966864).

Almost surely, 2^197781503920 is an apocalyptic number.

197781503920 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 197781503920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321909396480).

197781503920 is an abundant number, since it is smaller than the sum of its proper divisors (446037289040).

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

197781503920 is a wasteful number, since it uses less digits than its factorization.

197781503920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 52.

The spelling of 197781503920 in words is "one hundred ninety-seven billion, seven hundred eighty-one million, five hundred three thousand, nine hundred twenty".