20132224992 has 288 divisors, whose sum is σ = 63743936256. Its totient is φ = 5976115200.

The previous prime is 20132224961. The next prime is 20132225021. The reversal of 20132224992 is 29942223102.

It is a happy number.

20132224992 is a `hidden beast` number, since 2 + 0 + 1 + 322 + 249 + 92 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60822267 + ... + 60822597.

It is an arithmetic number, because the mean of its divisors is an integer number (221333112).

Almost surely, 2^20132224992 is an apocalyptic number.

20132224992 is a gapful number since it is divisible by the number (22) 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 20132224992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31871968128).

20132224992 is an abundant number, since it is smaller than the sum of its proper divisors (43611711264).

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

20132224992 is a wasteful number, since it uses less digits than its factorization.

20132224992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 20132224992 in words is "twenty billion, one hundred thirty-two million, two hundred twenty-four thousand, nine hundred ninety-two".