20135672763600 has 240 divisors, whose sum is σ = 67708718364672. Its totient is φ = 5105299668480.

The previous prime is 20135672763553. The next prime is 20135672763653. The reversal of 20135672763600 is 636727653102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×20135672763600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20135672763600.

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, 2424909 + ... + 6793491.

Almost surely, 2^{20135672763600} is an apocalyptic number.

20135672763600 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 20135672763600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33854359182336).

20135672763600 is an abundant number, since it is smaller than the sum of its proper divisors (47573045601072).

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

20135672763600 is a wasteful number, since it uses less digits than its factorization.

20135672763600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4368794 (or 4368783 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 48.

The spelling of 20135672763600 in words is "twenty trillion, one hundred thirty-five billion, six hundred seventy-two million, seven hundred sixty-three thousand, six hundred".