162642521365500 has 384 divisors, whose sum is σ = 528908201902080. Its totient is φ = 38503485600000.

The previous prime is 162642521365481. The next prime is 162642521365507. The reversal of 162642521365500 is 5563125246261.

It is a super-2 number, since 2×162642521365500² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 162642521365500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162642521365507) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146445289 + ... + 147551711.

It is an arithmetic number, because the mean of its divisors is an integer number (1377365109120).

Almost surely, 2^{162642521365500} is an apocalyptic number.

162642521365500 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 162642521365500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264454100951040).

162642521365500 is an abundant number, since it is smaller than the sum of its proper divisors (366265680536580).

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

162642521365500 is a wasteful number, since it uses less digits than its factorization.

162642521365500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106666 (or 1106654 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 162642521365500 in words is "one hundred sixty-two trillion, six hundred forty-two billion, five hundred twenty-one million, three hundred sixty-five thousand, five hundred".