21140543088 has 240 divisors, whose sum is σ = 69359846400. Its totient is φ = 5886397440.

The previous prime is 21140543057. The next prime is 21140543089. The reversal of 21140543088 is 88034504112.

21140543088 is a `hidden beast` number, since 2 + 1 + 140 + 5 + 430 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21140543089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6367893 + ... + 6371211.

It is an arithmetic number, because the mean of its divisors is an integer number (288999360).

Almost surely, 2^21140543088 is an apocalyptic number.

21140543088 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 21140543088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34679923200).

21140543088 is an abundant number, since it is smaller than the sum of its proper divisors (48219303312).

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

21140543088 is a wasteful number, since it uses less digits than its factorization.

21140543088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 21140543088 in words is "twenty-one billion, one hundred forty million, five hundred forty-three thousand, eighty-eight".