20332514000 has 80 divisors (see below), whose sum is σ = 49263074640. Its totient is φ = 8116620800.

The previous prime is 20332513973. The next prime is 20332514003. The reversal of 20332514000 is 41523302.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4635431056 + 15697082944 = 68084^2 + 125288^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×20332514000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20332514003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008014 + ... + 1027986.

It is an arithmetic number, because the mean of its divisors is an integer number (615788433).

Almost surely, 2^20332514000 is an apocalyptic number.

20332514000 is a gapful number since it is divisible by the number (20) 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 20332514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24631537320).

20332514000 is an abundant number, since it is smaller than the sum of its proper divisors (28930560640).

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

20332514000 is a wasteful number, since it uses less digits than its factorization.

20332514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20505 (or 20489 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The spelling of 20332514000 in words is "twenty billion, three hundred thirty-two million, five hundred fourteen thousand".