20167271463360 has 1008 divisors, whose sum is σ = 79283459017728. Its totient is φ = 4329787392000.

The previous prime is 20167271463359. The next prime is 20167271463397. The reversal of 20167271463360 is 6336417276102.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8578166185 + ... + 8578168535.

It is an arithmetic number, because the mean of its divisors is an integer number (78654225216).

Almost surely, 2^{20167271463360} is an apocalyptic number.

20167271463360 is a gapful number since it is divisible by the number (20) 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 20167271463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39641729508864).

20167271463360 is an abundant number, since it is smaller than the sum of its proper divisors (59116187554368).

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

20167271463360 is a wasteful number, since it uses less digits than its factorization.

20167271463360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 20167271463360 in words is "twenty trillion, one hundred sixty-seven billion, two hundred seventy-one million, four hundred sixty-three thousand, three hundred sixty".