21811151232 has 768 divisors, whose sum is σ = 78592550400. Its totient is φ = 5948080128.

The previous prime is 21811151191. The next prime is 21811151261. The reversal of 21811151232 is 23215111812.

21811151232 is a `hidden beast` number, since 2 + 1 + 8 + 111 + 512 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21811151196 and 21811151205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130605613 + ... + 130605779.

It is an arithmetic number, because the mean of its divisors is an integer number (102334050).

Almost surely, 2^21811151232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21811151232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39296275200).

21811151232 is an abundant number, since it is smaller than the sum of its proper divisors (56781399168).

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

21811151232 is a wasteful number, since it uses less digits than its factorization.

21811151232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The spelling of 21811151232 in words is "twenty-one billion, eight hundred eleven million, one hundred fifty-one thousand, two hundred thirty-two".