20354181120 has 768 divisors, whose sum is σ = 89159616000. Its totient is φ = 4289200128.

The previous prime is 20354181119. The next prime is 20354181121. The reversal of 20354181120 is 2118145302.

20354181120 is a `hidden beast` number, since 2 + 0 + 3 + 541 + 8 + 112 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20354181119) and next prime (20354181121).

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20354181121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25159276 + ... + 25160084.

It is an arithmetic number, because the mean of its divisors is an integer number (116093250).

Almost surely, 2^20354181120 is an apocalyptic number.

20354181120 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 20354181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44579808000).

20354181120 is an abundant number, since it is smaller than the sum of its proper divisors (68805434880).

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

20354181120 is a wasteful number, since it uses less digits than its factorization.

20354181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 20354181120 in words is "twenty billion, three hundred fifty-four million, one hundred eighty-one thousand, one hundred twenty".