162956626560 has 1152 divisors, whose sum is σ = 735963096960. Its totient is φ = 32870154240.

The previous prime is 162956626541. The next prime is 162956626601. The reversal of 162956626560 is 65626659261.

It is a happy number.

162956626560 is a `hidden beast` number, since 1 + 6 + 2 + 9 + 5 + 6 + 626 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 162956626497 and 162956626506.

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 143 ways as a sum of consecutive naturals, for example, 84388795 + ... + 84390725.

It is an arithmetic number, because the mean of its divisors is an integer number (638856855).

Almost surely, 2^162956626560 is an apocalyptic number.

162956626560 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 162956626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367981548480).

162956626560 is an abundant number, since it is smaller than the sum of its proper divisors (573006470400).

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

162956626560 is a wasteful number, since it uses less digits than its factorization.

162956626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 162956626560 in words is "one hundred sixty-two billion, nine hundred fifty-six million, six hundred twenty-six thousand, five hundred sixty".