21197517480 has 256 divisors, whose sum is σ = 72685382400. Its totient is φ = 5492597760.

The previous prime is 21197517469. The next prime is 21197517487. The reversal of 21197517480 is 8471579112.

It is a happy number.

21197517480 is a `hidden beast` number, since 2 + 1 + 1 + 97 + 517 + 48 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21197517487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6122950 + ... + 6126410.

It is an arithmetic number, because the mean of its divisors is an integer number (283927275).

Almost surely, 2^21197517480 is an apocalyptic number.

21197517480 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 21197517480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36342691200).

21197517480 is an abundant number, since it is smaller than the sum of its proper divisors (51487864920).

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

21197517480 is a wasteful number, since it uses less digits than its factorization.

21197517480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 21197517480 in words is "twenty-one billion, one hundred ninety-seven million, five hundred seventeen thousand, four hundred eighty".