21478517964288 has 1440 divisors, whose sum is σ = 82283154041088. Its totient is φ = 5576728227840.

The previous prime is 21478517964257. The next prime is 21478517964301. The reversal of 21478517964288 is 88246971587412.

21478517964288 is a `hidden beast` number, since 2 + 1 + 47 + 8 + 517 + 9 + 64 + 2 + 8 + 8 = 666.

It is a super-2 number, since 2×21478517964288² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 8114285781 + ... + 8114288427.

Almost surely, 2^{21478517964288} is an apocalyptic number.

21478517964288 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 21478517964288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41141577020544).

21478517964288 is an abundant number, since it is smaller than the sum of its proper divisors (60804636076800).

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

21478517964288 is an frugal number, since it uses more digits than its factorization.

21478517964288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2670 counting only the distinct ones).

The product of its digits is 433520640, while the sum is 72.

The spelling of 21478517964288 in words is "twenty-one trillion, four hundred seventy-eight billion, five hundred seventeen million, nine hundred sixty-four thousand, two hundred eighty-eight".