196405812000 has 576 divisors, whose sum is σ = 741256064640. Its totient is φ = 49109760000.

The previous prime is 196405811957. The next prime is 196405812011. The reversal of 196405812000 is 218504691.

196405812000 is a `hidden beast` number, since 1 + 9 + 640 + 5 + 8 + 1 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 69082579 + ... + 69085421.

It is an arithmetic number, because the mean of its divisors is an integer number (1286902890).

Almost surely, 2^196405812000 is an apocalyptic number.

196405812000 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 196405812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370628032320).

196405812000 is an abundant number, since it is smaller than the sum of its proper divisors (544850252640).

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

196405812000 is a wasteful number, since it uses less digits than its factorization.

196405812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 196405812000 in words is "one hundred ninety-six billion, four hundred five million, eight hundred twelve thousand".