21999352032 has 288 divisors, whose sum is σ = 75083500800. Its totient is φ = 6248261376.

The previous prime is 21999352031. The next prime is 21999352033. The reversal of 21999352032 is 23025399912.

21999352032 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 93 + 520 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (21999352031) and next prime (21999352033).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21999352031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7576693 + ... + 7579595.

It is an arithmetic number, because the mean of its divisors is an integer number (260706600).

Almost surely, 2^21999352032 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 21999352032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37541750400).

21999352032 is an abundant number, since it is smaller than the sum of its proper divisors (53084148768).

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

21999352032 is a wasteful number, since it uses less digits than its factorization.

21999352032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 21999352032 in words is "twenty-one billion, nine hundred ninety-nine million, three hundred fifty-two thousand, thirty-two".