20485329120 has 288 divisors, whose sum is σ = 74790057888. Its totient is φ = 5087821824.

The previous prime is 20485329113. The next prime is 20485329133. The reversal of 20485329120 is 2192358402.

It is a happy number.

20485329120 is a `hidden beast` number, since 20 + 485 + 32 + 9 + 120 = 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, 2370247 + ... + 2378873.

It is an arithmetic number, because the mean of its divisors is an integer number (259687701).

Almost surely, 2^20485329120 is an apocalyptic number.

20485329120 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 20485329120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37395028944).

20485329120 is an abundant number, since it is smaller than the sum of its proper divisors (54304728768).

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

20485329120 is a wasteful number, since it uses less digits than its factorization.

20485329120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8762 (or 8751 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20485329120 in words is "twenty billion, four hundred eighty-five million, three hundred twenty-nine thousand, one hundred twenty".