21399207007464 has 384 divisors, whose sum is σ = 72114972209280. Its totient is φ = 5632015564800.

The previous prime is 21399207007457. The next prime is 21399207007469. The reversal of 21399207007464 is 46470070299312.

21399207007464 is a `hidden beast` number, since 2 + 1 + 3 + 99 + 20 + 70 + 0 + 7 + 464 = 666.

It is a super-2 number, since 2×21399207007464² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21399207007464.

It is not an unprimeable number, because it can be changed into a prime (21399207007469) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 658279099 + ... + 658311605.

It is an arithmetic number, because the mean of its divisors is an integer number (187799406795).

Almost surely, 2^{21399207007464} is an apocalyptic number.

21399207007464 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 21399207007464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36057486104640).

21399207007464 is an abundant number, since it is smaller than the sum of its proper divisors (50715765201816).

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

21399207007464 is a wasteful number, since it uses less digits than its factorization.

21399207007464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36321 (or 36314 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 21399207007464 in words is "twenty-one trillion, three hundred ninety-nine billion, two hundred seven million, seven thousand, four hundred sixty-four".