196260516864000 has 784 divisors, whose sum is σ = 734421355401240. Its totient is φ = 52335938764800.

The previous prime is 196260516863969. The next prime is 196260516864019. The reversal of 196260516864000 is 468615062691.

196260516864000 is a `hidden beast` number, since 1 + 9 + 6 + 2 + 6 + 0 + 516 + 86 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113047589523456 + 83212927340544 = 10632384^2 + 9122112^2 .

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 55 ways as a sum of consecutive naturals, for example, 746364546 + ... + 746627454.

Almost surely, 2^{196260516864000} is an apocalyptic number.

196260516864000 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 196260516864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367210677700620).

196260516864000 is an abundant number, since it is smaller than the sum of its proper divisors (538160838537240).

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

196260516864000 is an frugal number, since it uses more digits than its factorization.

196260516864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262968 (or 262919 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 196260516864000 in words is "one hundred ninety-six trillion, two hundred sixty billion, five hundred sixteen million, eight hundred sixty-four thousand".