21316730480640 has 1536 divisors, whose sum is σ = 88398787276800. Its totient is φ = 4772230594560.

The previous prime is 21316730480621. The next prime is 21316730480653. The reversal of 21316730480640 is 4608403761312.

21316730480640 is a `hidden beast` number, since 2 + 1 + 3 + 167 + 3 + 0 + 480 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21043168774 + ... + 21043169786.

It is an arithmetic number, because the mean of its divisors is an integer number (57551293800).

Almost surely, 2^{21316730480640} is an apocalyptic number.

21316730480640 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 21316730480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44199393638400).

21316730480640 is an abundant number, since it is smaller than the sum of its proper divisors (67082056796160).

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

21316730480640 is a wasteful number, since it uses less digits than its factorization.

21316730480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 21316730480640 in words is "twenty-one trillion, three hundred sixteen billion, seven hundred thirty million, four hundred eighty thousand, six hundred forty".