20016261825120 has 1344 divisors, whose sum is σ = 81778314562560. Its totient is φ = 4576617676800.

The previous prime is 20016261825073. The next prime is 20016261825121. The reversal of 20016261825120 is 2152816261002.

20016261825120 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 6 + 2 + 61 + 82 + 512 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20016261825121) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5875038457 + ... + 5875041863.

It is an arithmetic number, because the mean of its divisors is an integer number (60846960240).

Almost surely, 2^{20016261825120} is an apocalyptic number.

20016261825120 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 20016261825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40889157281280).

20016261825120 is an abundant number, since it is smaller than the sum of its proper divisors (61762052737440).

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

20016261825120 is a wasteful number, since it uses less digits than its factorization.

20016261825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 20016261825120 in words is "twenty trillion, sixteen billion, two hundred sixty-one million, eight hundred twenty-five thousand, one hundred twenty".