162542732400 has 450 divisors, whose sum is σ = 619721915120. Its totient is φ = 40792688640.

The previous prime is 162542732327. The next prime is 162542732413. The reversal of 162542732400 is 4237245261.

162542732400 is a `hidden beast` number, since 1 + 6 + 2 + 542 + 73 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 9354921 + ... + 9372279.

Almost surely, 2^162542732400 is an apocalyptic number.

162542732400 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 162542732400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309860957560).

162542732400 is an abundant number, since it is smaller than the sum of its proper divisors (457179182720).

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

162542732400 is a wasteful number, since it uses less digits than its factorization.

162542732400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17423 (or 17386 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 162542732400 its reverse (4237245261), we get a palindrome (166779977661).

The spelling of 162542732400 in words is "one hundred sixty-two billion, five hundred forty-two million, seven hundred thirty-two thousand, four hundred".