20149365600 has 1728 divisors, whose sum is σ = 97454762496. Its totient is φ = 3941498880.

The previous prime is 20149365563. The next prime is 20149365623. The reversal of 20149365600 is 656394102.

It is a happy number.

20149365600 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 93 + 6 + 560 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 300736767 + ... + 300736833.

It is an arithmetic number, because the mean of its divisors is an integer number (56397432).

Almost surely, 2^20149365600 is an apocalyptic number.

20149365600 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 20149365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48727381248).

20149365600 is an abundant number, since it is smaller than the sum of its proper divisors (77305396896).

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

20149365600 is a wasteful number, since it uses less digits than its factorization.

20149365600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 20149365600 in words is "twenty billion, one hundred forty-nine million, three hundred sixty-five thousand, six hundred".