20116761336320 has 480 divisors, whose sum is σ = 54574270648128. Its totient is φ = 7101997056000.

The previous prime is 20116761336311. The next prime is 20116761336349. The reversal of 20116761336320 is 2363316761102.

It is a super-2 number, since 2×20116761336320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 47 ways as a sum of consecutive naturals, for example, 2679730007 + ... + 2679737513.

Almost surely, 2^{20116761336320} is an apocalyptic number.

20116761336320 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 20116761336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27287135324064).

20116761336320 is an abundant number, since it is smaller than the sum of its proper divisors (34457509311808).

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

20116761336320 is a wasteful number, since it uses less digits than its factorization.

20116761336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7804 (or 7777 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 41.

The spelling of 20116761336320 in words is "twenty trillion, one hundred sixteen billion, seven hundred sixty-one million, three hundred thirty-six thousand, three hundred twenty".