163319091127920 has 3840 divisors, whose sum is σ = 763094518824960. Its totient is φ = 31729065984000.

The previous prime is 163319091127879. The next prime is 163319091128029. The reversal of 163319091127920 is 29721190913361.

163319091127920 is a `hidden beast` number, since 1 + 6 + 331 + 9 + 0 + 9 + 11 + 279 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 271745575620 + ... + 271745576220.

It is an arithmetic number, because the mean of its divisors is an integer number (198722530944).

Almost surely, 2^{163319091127920} is an apocalyptic number.

163319091127920 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 163319091127920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381547259412480).

163319091127920 is an abundant number, since it is smaller than the sum of its proper divisors (599775427697040).

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

163319091127920 is a wasteful number, since it uses less digits than its factorization.

163319091127920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 163319091127920 in words is "one hundred sixty-three trillion, three hundred nineteen billion, ninety-one million, one hundred twenty-seven thousand, nine hundred twenty".