20638029600 has 216 divisors, whose sum is σ = 73098485460. Its totient is φ = 5479004160.

The previous prime is 20638029551. The next prime is 20638029613. The reversal of 20638029600 is 692083602.

20638029600 is a `hidden beast` number, since 20 + 6 + 3 + 8 + 0 + 29 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17509640976 + 3128388624 = 132324^2 + 55932^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 1642542 + ... + 1655058.

Almost surely, 2^20638029600 is an apocalyptic number.

20638029600 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 20638029600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36549242730).

20638029600 is an abundant number, since it is smaller than the sum of its proper divisors (52460455860).

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

20638029600 is a wasteful number, since it uses less digits than its factorization.

20638029600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12772 (or 12756 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 20638029600 in words is "twenty billion, six hundred thirty-eight million, twenty-nine thousand, six hundred".