21167093301120 has 2048 divisors, whose sum is σ = 88701625152000. Its totient is φ = 4781396459520.

The previous prime is 21167093301019. The next prime is 21167093301157. The reversal of 21167093301120 is 2110339076112.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12682499646 + ... + 12682501314.

Almost surely, 2^{21167093301120} is an apocalyptic number.

21167093301120 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 21167093301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44350812576000).

21167093301120 is an abundant number, since it is smaller than the sum of its proper divisors (67534531850880).

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

21167093301120 is a wasteful number, since it uses less digits than its factorization.

21167093301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 21167093301120 in words is "twenty-one trillion, one hundred sixty-seven billion, ninety-three million, three hundred one thousand, one hundred twenty".