196612093600 has 288 divisors, whose sum is σ = 539161491456. Its totient is φ = 69518131200.

The previous prime is 196612093591. The next prime is 196612093633. The reversal of 196612093600 is 6390216691.

It is a super-3 number, since 3×196612093600³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31269657 + ... + 31275943.

It is an arithmetic number, because the mean of its divisors is an integer number (1872088512).

Almost surely, 2^196612093600 is an apocalyptic number.

196612093600 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 196612093600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269580745728).

196612093600 is an abundant number, since it is smaller than the sum of its proper divisors (342549397856).

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

196612093600 is a wasteful number, since it uses less digits than its factorization.

196612093600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6448 (or 6435 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The spelling of 196612093600 in words is "one hundred ninety-six billion, six hundred twelve million, ninety-three thousand, six hundred".