21460755520512 has 2112 divisors, whose sum is σ = 84890039808000. Its totient is φ = 5227741347840.

The previous prime is 21460755520489. The next prime is 21460755520513. The reversal of 21460755520512 is 21502555706412.

21460755520512 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 0 + 75 + 5 + 520 + 51 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×21460755520512² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21460755520513) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61846557523 + ... + 61846557869.

Almost surely, 2^{21460755520512} is an apocalyptic number.

21460755520512 is a gapful number since it is divisible by the number (22) 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 21460755520512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42445019904000).

21460755520512 is an abundant number, since it is smaller than the sum of its proper divisors (63429284287488).

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

21460755520512 is a wasteful number, since it uses less digits than its factorization.

21460755520512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 21460755520512 in words is "twenty-one trillion, four hundred sixty billion, seven hundred fifty-five million, five hundred twenty thousand, five hundred twelve".