21746435088 has 320 divisors, whose sum is σ = 71680412160. Its totient is φ = 5537366016.

The previous prime is 21746435041. The next prime is 21746435089. The reversal of 21746435088 is 88053464712.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (21746435089) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8778106 + ... + 8780582.

It is an arithmetic number, because the mean of its divisors is an integer number (224001288).

Almost surely, 2^21746435088 is an apocalyptic number.

21746435088 is a gapful number since it is divisible by the number (28) 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 21746435088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35840206080).

21746435088 is an abundant number, since it is smaller than the sum of its proper divisors (49933977072).

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

21746435088 is a wasteful number, since it uses less digits than its factorization.

21746435088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 21746435088 in words is "twenty-one billion, seven hundred forty-six million, four hundred thirty-five thousand, eighty-eight".