20116761616140 has 192 divisors, whose sum is σ = 64447948013568. Its totient is φ = 4592811974400.

The previous prime is 20116761616129. The next prime is 20116761616213. The reversal of 20116761616140 is 4161616761102.

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

It is a junction number, because it is equal to n+sod(n) for n = 20116761616092 and 20116761616101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1903729137 + ... + 1903739703.

It is an arithmetic number, because the mean of its divisors is an integer number (335666395904).

Almost surely, 2^{20116761616140} is an apocalyptic number.

20116761616140 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 20116761616140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32223974006784).

20116761616140 is an abundant number, since it is smaller than the sum of its proper divisors (44331186397428).

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

20116761616140 is a wasteful number, since it uses less digits than its factorization.

20116761616140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15388 (or 15386 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 20116761616140 in words is "twenty trillion, one hundred sixteen billion, seven hundred sixty-one million, six hundred sixteen thousand, one hundred forty".