21026031831168 has 1152 divisors, whose sum is σ = 76234634058240. Its totient is φ = 5083339161600.

The previous prime is 21026031831157. The next prime is 21026031831197. The reversal of 21026031831168 is 86113813062012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2737404288 + ... + 2737411968.

It is an arithmetic number, because the mean of its divisors is an integer number (66175897620).

Almost surely, 2^{21026031831168} is an apocalyptic number.

21026031831168 is a gapful number since it is divisible by the number (28) 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 21026031831168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38117317029120).

21026031831168 is an abundant number, since it is smaller than the sum of its proper divisors (55208602227072).

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

21026031831168 is a wasteful number, since it uses less digits than its factorization.

21026031831168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7794 (or 7756 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 21026031831168 in words is "twenty-one trillion, twenty-six billion, thirty-one million, eight hundred thirty-one thousand, one hundred sixty-eight".