20361552120 has 768 divisors, whose sum is σ = 90079516800. Its totient is φ = 4041031680.

The previous prime is 20361552119. The next prime is 20361552161. The reversal of 20361552120 is 2125516302.

It is a happy number.

20361552120 is a `hidden beast` number, since 2 + 0 + 3 + 615 + 5 + 21 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 11694450 + ... + 11696190.

Almost surely, 2^20361552120 is an apocalyptic number.

20361552120 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 20361552120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45039758400).

20361552120 is an abundant number, since it is smaller than the sum of its proper divisors (69717964680).

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

20361552120 is a wasteful number, since it uses less digits than its factorization.

20361552120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 20361552120 in words is "twenty billion, three hundred sixty-one million, five hundred fifty-two thousand, one hundred twenty".