21461025003264 has 432 divisors, whose sum is σ = 78453477123840. Its totient is φ = 5479810007040.

The previous prime is 21461025003181. The next prime is 21461025003317. The reversal of 21461025003264 is 46230052016412.

21461025003264 is a `hidden beast` number, since 2 + 1 + 4 + 61 + 0 + 2 + 500 + 32 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9441904 + ... + 11492240.

It is an arithmetic number, because the mean of its divisors is an integer number (181605271120).

Almost surely, 2^{21461025003264} is an apocalyptic number.

21461025003264 is a gapful number since it is divisible by the number (24) 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 21461025003264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39226738561920).

21461025003264 is an abundant number, since it is smaller than the sum of its proper divisors (56992452120576).

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

21461025003264 is a wasteful number, since it uses less digits than its factorization.

21461025003264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050436 (or 2050419 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 21461025003264 its reverse (46230052016412), we get a palindrome (67691077019676).

The spelling of 21461025003264 in words is "twenty-one trillion, four hundred sixty-one billion, twenty-five million, three thousand, two hundred sixty-four".