21216041153064 has 24 divisors (see below), whose sum is σ = 57460111456410. Its totient is φ = 7072013717664.

The previous prime is 21216041153063. The next prime is 21216041153077. The reversal of 21216041153064 is 46035114061212.

21216041153064 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 60 + 4 + 1 + 1 + 530 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18922761000900 + 2293280152164 = 4350030^2 + 1514358^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21216041153063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147333619047 + ... + 147333619190.

Almost surely, 2^{21216041153064} is an apocalyptic number.

21216041153064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21216041153064 is an abundant number, since it is smaller than the sum of its proper divisors (36244070303346).

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

21216041153064 is a wasteful number, since it uses less digits than its factorization.

21216041153064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294667238249 (or 294667238242 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 21216041153064 in words is "twenty-one trillion, two hundred sixteen billion, forty-one million, one hundred fifty-three thousand, sixty-four".