20135779200 has 384 divisors, whose sum is σ = 78031836000. Its totient is φ = 5053317120.

The previous prime is 20135779193. The next prime is 20135779229. The reversal of 20135779200 is 297753102.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1461946 + ... + 1475654.

Almost surely, 2^20135779200 is an apocalyptic number.

20135779200 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 20135779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39015918000).

20135779200 is an abundant number, since it is smaller than the sum of its proper divisors (57896056800).

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

20135779200 is a wasteful number, since it uses less digits than its factorization.

20135779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13759 (or 13736 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 20135779200 in words is "twenty billion, one hundred thirty-five million, seven hundred seventy-nine thousand, two hundred".