21934035120 has 640 divisors, whose sum is σ = 78817812480. Its totient is φ = 5016453120.

The previous prime is 21934035029. The next prime is 21934035127. The reversal of 21934035120 is 2153043912.

It is a super-2 number, since 2×21934035120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (21934035127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 201229626 + ... + 201229734.

It is an arithmetic number, because the mean of its divisors is an integer number (123152832).

Almost surely, 2^21934035120 is an apocalyptic number.

21934035120 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 21934035120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39408906240).

21934035120 is an abundant number, since it is smaller than the sum of its proper divisors (56883777360).

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

21934035120 is a wasteful number, since it uses less digits than its factorization.

21934035120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 21934035120 in words is "twenty-one billion, nine hundred thirty-four million, thirty-five thousand, one hundred twenty".