162681600977280 has 6144 divisors, whose sum is σ = 818081084620800. Its totient is φ = 29823530434560.

The previous prime is 162681600977213. The next prime is 162681600977293. The reversal of 162681600977280 is 82779006186261.

162681600977280 is a `hidden beast` number, since 1 + 6 + 268 + 1 + 6 + 0 + 0 + 97 + 7 + 280 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 529907494887 + ... + 529907495193.

It is an arithmetic number, because the mean of its divisors is an integer number (133151218200).

Almost surely, 2^{162681600977280} is an apocalyptic number.

162681600977280 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 162681600977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409040542310400).

162681600977280 is an abundant number, since it is smaller than the sum of its proper divisors (655399483643520).

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

162681600977280 is a wasteful number, since it uses less digits than its factorization.

162681600977280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 162681600977280 in words is "one hundred sixty-two trillion, six hundred eighty-one billion, six hundred million, nine hundred seventy-seven thousand, two hundred eighty".