21658777920 has 1120 divisors, whose sum is σ = 92939616000. Its totient is φ = 4729798656.

The previous prime is 21658777897. The next prime is 21658777969. The reversal of 21658777920 is 2977785612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 108837981 + ... + 108838179.

It is an arithmetic number, because the mean of its divisors is an integer number (82981800).

Almost surely, 2^21658777920 is an apocalyptic number.

21658777920 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 21658777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46469808000).

21658777920 is an abundant number, since it is smaller than the sum of its proper divisors (71280838080).

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

21658777920 is a wasteful number, since it uses less digits than its factorization.

21658777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 21658777920 in words is "twenty-one billion, six hundred fifty-eight million, seven hundred seventy-seven thousand, nine hundred twenty".