162485030400 has 960 divisors, whose sum is σ = 675136788480. Its totient is φ = 33465139200.

The previous prime is 162485030347. The next prime is 162485030413. The reversal of 162485030400 is 4030584261.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 529267047 + ... + 529267353.

It is an arithmetic number, because the mean of its divisors is an integer number (703267488).

Almost surely, 2^162485030400 is an apocalyptic number.

162485030400 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 162485030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337568394240).

162485030400 is an abundant number, since it is smaller than the sum of its proper divisors (512651758080).

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

162485030400 is a wasteful number, since it uses less digits than its factorization.

162485030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 162485030400 in words is "one hundred sixty-two billion, four hundred eighty-five million, thirty thousand, four hundred".