21045696480 has 192 divisors, whose sum is σ = 74909318400. Its totient is φ = 5516997120.

The previous prime is 21045696473. The next prime is 21045696487. The reversal of 21045696480 is 8469654012.

21045696480 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 569 + 6 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (21045696473) and next prime (21045696487).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21045696487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213595 + ... + 296165.

It is an arithmetic number, because the mean of its divisors is an integer number (390152700).

Almost surely, 2^21045696480 is an apocalyptic number.

21045696480 is a gapful number since it is divisible by the number (20) 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 21045696480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37454659200).

21045696480 is an abundant number, since it is smaller than the sum of its proper divisors (53863621920).

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

21045696480 is a wasteful number, since it uses less digits than its factorization.

21045696480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82654 (or 82640 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

It can be divided in two parts, 210456 and 96480, that added together give a triangular number (306936 = T₇₈₃).

The spelling of 21045696480 in words is "twenty-one billion, forty-five million, six hundred ninety-six thousand, four hundred eighty".