162272517099840 has 1120 divisors, whose sum is σ = 671625214064640. Its totient is φ = 36421424050176.

The previous prime is 162272517099829. The next prime is 162272517099841. The reversal of 162272517099840 is 48990715272261.

162272517099840 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 72 + 517 + 0 + 9 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162272517099841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10137589117 + ... + 10137605123.

Almost surely, 2^{162272517099840} is an apocalyptic number.

162272517099840 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 162272517099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335812607032320).

162272517099840 is an abundant number, since it is smaller than the sum of its proper divisors (509352696964800).

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

162272517099840 is a wasteful number, since it uses less digits than its factorization.

162272517099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17049 (or 17030 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 162272517099840 in words is "one hundred sixty-two trillion, two hundred seventy-two billion, five hundred seventeen million, ninety-nine thousand, eight hundred forty".