162983893600 has 144 divisors (see below), whose sum is σ = 434265330240. Its totient is φ = 59238259200.

The previous prime is 162983893549. The next prime is 162983893607. The reversal of 162983893600 is 6398389261.

It is a super-2 number, since 2×162983893600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162983893607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28676359 + ... + 28682041.

It is an arithmetic number, because the mean of its divisors is an integer number (3015731460).

Almost surely, 2^162983893600 is an apocalyptic number.

162983893600 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 162983893600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217132665120).

162983893600 is an abundant number, since it is smaller than the sum of its proper divisors (271281436640).

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

162983893600 is a wasteful number, since it uses less digits than its factorization.

162983893600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8973 (or 8960 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 55.

The spelling of 162983893600 in words is "one hundred sixty-two billion, nine hundred eighty-three million, eight hundred ninety-three thousand, six hundred".