21993357120 has 224 divisors, whose sum is σ = 80187856896. Its totient is φ = 5002905600.

The previous prime is 21993357119. The next prime is 21993357131. The reversal of 21993357120 is 2175339912.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1410165 + ... + 1425675.

It is an arithmetic number, because the mean of its divisors is an integer number (357981504).

Almost surely, 2^21993357120 is an apocalyptic number.

21993357120 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 21993357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40093928448).

21993357120 is an abundant number, since it is smaller than the sum of its proper divisors (58194499776).

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

21993357120 is a wasteful number, since it uses less digits than its factorization.

21993357120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15749 (or 15739 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The spelling of 21993357120 in words is "twenty-one billion, nine hundred ninety-three million, three hundred fifty-seven thousand, one hundred twenty".