21029164206720 has 256 divisors, whose sum is σ = 67193582244480. Its totient is φ = 5594145751040.

The previous prime is 21029164206709. The next prime is 21029164206737. The reversal of 21029164206720 is 2760246192012.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 1612288519 + ... + 1612301561.

Almost surely, 2^{21029164206720} is an apocalyptic number.

21029164206720 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 21029164206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33596791122240).

21029164206720 is an abundant number, since it is smaller than the sum of its proper divisors (46164418037760).

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

21029164206720 is a wasteful number, since it uses less digits than its factorization.

21029164206720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15043 (or 15031 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 21029164206720 in words is "twenty-one trillion, twenty-nine billion, one hundred sixty-four million, two hundred six thousand, seven hundred twenty".