197536838400 has 864 divisors, whose sum is σ = 800576259840. Its totient is φ = 47850393600.

The previous prime is 197536838399. The next prime is 197536838423. The reversal of 197536838400 is 4838635791.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153964159 + ... + 153965441.

Almost surely, 2^197536838400 is an apocalyptic number.

197536838400 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 197536838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400288129920).

197536838400 is an abundant number, since it is smaller than the sum of its proper divisors (603039421440).

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

197536838400 is an equidigital number, since it uses as much as digits as its factorization.

197536838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 197536838400 in words is "one hundred ninety-seven billion, five hundred thirty-six million, eight hundred thirty-eight thousand, four hundred".