21347929763160 has 1024 divisors, whose sum is σ = 88447748014080. Its totient is φ = 3977957744640.

The previous prime is 21347929763143. The next prime is 21347929763191. The reversal of 21347929763160 is 6136792974312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 21347929763094 and 21347929763103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3231104577 + ... + 3231111183.

It is an arithmetic number, because the mean of its divisors is an integer number (86374753920).

Almost surely, 2^{21347929763160} is an apocalyptic number.

21347929763160 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 21347929763160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44223874007040).

21347929763160 is an abundant number, since it is smaller than the sum of its proper divisors (67099818250920).

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

21347929763160 is a wasteful number, since it uses less digits than its factorization.

21347929763160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7416 (or 7412 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 60.

The spelling of 21347929763160 in words is "twenty-one trillion, three hundred forty-seven billion, nine hundred twenty-nine million, seven hundred sixty-three thousand, one hundred sixty".