21234958080 has 288 divisors, whose sum is σ = 77685081600. Its totient is φ = 4842602496.

The previous prime is 21234958051. The next prime is 21234958099. The reversal of 21234958080 is 8085943212.

It is a super-3 number, since 3×21234958080³ (a number of 32 digits) contains 333 as substring.

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, 19863786 + ... + 19864854.

Almost surely, 2^21234958080 is an apocalyptic number.

21234958080 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 21234958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38842540800).

21234958080 is an abundant number, since it is smaller than the sum of its proper divisors (56450123520).

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

21234958080 is a wasteful number, since it uses less digits than its factorization.

21234958080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 21234958080 in words is "twenty-one billion, two hundred thirty-four million, nine hundred fifty-eight thousand, eighty".