162996986880 has 1320 divisors, whose sum is σ = 732901870008. Its totient is φ = 34334834688.

The previous prime is 162996986869. The next prime is 162996986917. The reversal of 162996986880 is 88689699261.

It can be written as a sum of positive squares in 4 ways, for example, as 5267275776 + 157729711104 = 72576^2 + 397152^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 162996986799 and 162996986808.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 264176332 + ... + 264176948.

Almost surely, 2^162996986880 is an apocalyptic number.

162996986880 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 162996986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366450935004).

162996986880 is an abundant number, since it is smaller than the sum of its proper divisors (569904883128).

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

162996986880 is a wasteful number, since it uses less digits than its factorization.

162996986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 162996986880 in words is "one hundred sixty-two billion, nine hundred ninety-six million, nine hundred eighty-six thousand, eight hundred eighty".