21045372480 has 448 divisors, whose sum is σ = 82047283200. Its totient is φ = 5035530240.

The previous prime is 21045372463. The next prime is 21045372497. The reversal of 21045372480 is 8427354012.

It is a happy number.

21045372480 is a `hidden beast` number, since 2 + 104 + 5 + 3 + 72 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (21045372463) and next prime (21045372497).

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 63 ways as a sum of consecutive naturals, for example, 7506759 + ... + 7509561.

Almost surely, 2^21045372480 is an apocalyptic number.

21045372480 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 21045372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41023641600).

21045372480 is an abundant number, since it is smaller than the sum of its proper divisors (61001910720).

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

21045372480 is a wasteful number, since it uses less digits than its factorization.

21045372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 21045372480 in words is "twenty-one billion, forty-five million, three hundred seventy-two thousand, four hundred eighty".