21839685120 has 960 divisors, whose sum is σ = 90382982976. Its totient is φ = 4812963840.

The previous prime is 21839685059. The next prime is 21839685173. The reversal of 21839685120 is 2158693812.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×21839685120² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 159413692 + ... + 159413828.

Almost surely, 2^21839685120 is an apocalyptic number.

21839685120 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 21839685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45191491488).

21839685120 is an abundant number, since it is smaller than the sum of its proper divisors (68543297856).

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

21839685120 is a wasteful number, since it uses less digits than its factorization.

21839685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 21839685120 in words is "twenty-one billion, eight hundred thirty-nine million, six hundred eighty-five thousand, one hundred twenty".