21476516356064 has 192 divisors, whose sum is σ = 54719269742592. Its totient is φ = 8055186739200.

The previous prime is 21476516356039. The next prime is 21476516356073. The reversal of 21476516356064 is 46065361567412.

It is a super-2 number, since 2×21476516356064² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 31 ways as a sum of consecutive naturals, for example, 5544212 + ... + 8584364.

It is an arithmetic number, because the mean of its divisors is an integer number (284996196576).

Almost surely, 2^{21476516356064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21476516356064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27359634871296).

21476516356064 is an abundant number, since it is smaller than the sum of its proper divisors (33242753386528).

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

21476516356064 is a wasteful number, since it uses less digits than its factorization.

21476516356064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040289 (or 3040281 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 56.

The spelling of 21476516356064 in words is "twenty-one trillion, four hundred seventy-six billion, five hundred sixteen million, three hundred fifty-six thousand, sixty-four".