162198584006400 has 648 divisors, whose sum is σ = 602963125390080. Its totient is φ = 43138675077120.

The previous prime is 162198584006387. The next prime is 162198584006411. The reversal of 162198584006400 is 4600485891261.

162198584006400 is a `hidden beast` number, since 1 + 6 + 2 + 19 + 8 + 584 + 0 + 0 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 589283209 + ... + 589558391.

Almost surely, 2^{162198584006400} is an apocalyptic number.

162198584006400 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 162198584006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301481562695040).

162198584006400 is an abundant number, since it is smaller than the sum of its proper divisors (440764541383680).

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

162198584006400 is an equidigital number, since it uses as much as digits as its factorization.

162198584006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275603 (or 275572 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 162198584006400 in words is "one hundred sixty-two trillion, one hundred ninety-eight billion, five hundred eighty-four million, six thousand, four hundred".