21546064512 has 96 divisors (see below), whose sum is σ = 70858363680. Its totient is φ = 6156016128.

The previous prime is 21546064493. The next prime is 21546064559.

21546064512 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 6 + 0 + 645 + 1 + 2 = 666.

21546064512 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1327878 + ... + 1344005.

It is an arithmetic number, because the mean of its divisors is an integer number (738107955).

Almost surely, 2^21546064512 is an apocalyptic number.

It is an amenable number.

21546064512 is an abundant number, since it is smaller than the sum of its proper divisors (49312299168).

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

21546064512 is a wasteful number, since it uses less digits than its factorization.

21546064512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671910 (or 2671895 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 215460 and 64512, that added together give a palindrome (279972).

The spelling of 21546064512 in words is "twenty-one billion, five hundred forty-six million, sixty-four thousand, five hundred twelve".