21162199048704 has 640 divisors, whose sum is σ = 71951056742400. Its totient is φ = 6015981404160.

The previous prime is 21162199048609. The next prime is 21162199048709. The reversal of 21162199048704 is 40784099126112.

21162199048704 is a `hidden beast` number, since 2 + 1 + 1 + 62 + 19 + 90 + 487 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (21162199048709) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28636263567 + ... + 28636264305.

It is an arithmetic number, because the mean of its divisors is an integer number (112423526160).

Almost surely, 2^{21162199048704} is an apocalyptic number.

21162199048704 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 21162199048704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35975528371200).

21162199048704 is an abundant number, since it is smaller than the sum of its proper divisors (50788857693696).

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

21162199048704 is an equidigital number, since it uses as much as digits as its factorization.

21162199048704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 21162199048704 in words is "twenty-one trillion, one hundred sixty-two billion, one hundred ninety-nine million, forty-eight thousand, seven hundred four".