21690789120 has 2160 divisors, whose sum is σ = 110524149120. Its totient is φ = 3941498880.

The previous prime is 21690789119. The next prime is 21690789137. The reversal of 21690789120 is 2198709612.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1141620471 + ... + 1141620489.

Almost surely, 2^21690789120 is an apocalyptic number.

21690789120 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 21690789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55262074560).

21690789120 is an abundant number, since it is smaller than the sum of its proper divisors (88833360000).

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

21690789120 is a wasteful number, since it uses less digits than its factorization.

21690789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 21690789120 in words is "twenty-one billion, six hundred ninety million, seven hundred eighty-nine thousand, one hundred twenty".