21450020319 has 128 divisors (see below), whose sum is σ = 39938304000. Its totient is φ = 11077254144.

The previous prime is 21450020269. The next prime is 21450020329. The reversal of 21450020319 is 91302005412.

21450020319 is a `hidden beast` number, since 2 + 1 + 450 + 0 + 203 + 1 + 9 = 666.

It is not a de Polignac number, because 21450020319 - 2⁷ = 21450020191 is a prime.

It is a super-2 number, since 2×21450020319² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21450020292 and 21450020301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21450020329) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37697467 + ... + 37698035.

It is an arithmetic number, because the mean of its divisors is an integer number (312018000).

Almost surely, 2^21450020319 is an apocalyptic number.

21450020319 is a deficient number, since it is larger than the sum of its proper divisors (18488283681).

21450020319 is a wasteful number, since it uses less digits than its factorization.

21450020319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 21450020319 in words is "twenty-one billion, four hundred fifty million, twenty thousand, three hundred nineteen".