21294789120 has 480 divisors, whose sum is σ = 81627346944. Its totient is φ = 5087232000.

The previous prime is 21294789053. The next prime is 21294789143. The reversal of 21294789120 is 2198749212.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18500545 + ... + 18501695.

Almost surely, 2^21294789120 is an apocalyptic number.

21294789120 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 21294789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40813673472).

21294789120 is an abundant number, since it is smaller than the sum of its proper divisors (60332557824).

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

21294789120 is a wasteful number, since it uses less digits than its factorization.

21294789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 21294789120 in words is "twenty-one billion, two hundred ninety-four million, seven hundred eighty-nine thousand, one hundred twenty".