21838779360 has 1152 divisors, whose sum is σ = 90348410880. Its totient is φ = 4944789504.

The previous prime is 21838779359. The next prime is 21838779401. The reversal of 21838779360 is 6397783812.

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

It is a junction number, because it is equal to n+sod(n) for n = 21838779297 and 21838779306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 464654857 + ... + 464654903.

It is an arithmetic number, because the mean of its divisors is an integer number (78427440).

Almost surely, 2^21838779360 is an apocalyptic number.

21838779360 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 21838779360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45174205440).

21838779360 is an abundant number, since it is smaller than the sum of its proper divisors (68509631520).

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

21838779360 is a wasteful number, since it uses less digits than its factorization.

21838779360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 21838779360 in words is "twenty-one billion, eight hundred thirty-eight million, seven hundred seventy-nine thousand, three hundred sixty".