20136612167700 has 1152 divisors, whose sum is σ = 72700946841600. Its totient is φ = 4199669760000.

The previous prime is 20136612167689. The next prime is 20136612167701. The reversal of 20136612167700 is 776121663102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20136612167701) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 42038856061 + ... + 42038856539.

It is an arithmetic number, because the mean of its divisors is an integer number (63108460800).

Almost surely, 2^{20136612167700} is an apocalyptic number.

20136612167700 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 20136612167700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36350473420800).

20136612167700 is an abundant number, since it is smaller than the sum of its proper divisors (52564334673900).

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

20136612167700 is a wasteful number, since it uses less digits than its factorization.

20136612167700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 20136612167700 in words is "twenty trillion, one hundred thirty-six billion, six hundred twelve million, one hundred sixty-seven thousand, seven hundred".