20116393375104 has 384 divisors, whose sum is σ = 62528997192480. Its totient is φ = 6170914160640.

The previous prime is 20116393375097. The next prime is 20116393375109. The reversal of 20116393375104 is 40157339361102.

20116393375104 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 639 + 3 + 3 + 7 + 5 + 1 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20116393375104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20116393375109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12140248644 + ... + 12140250300.

Almost surely, 2^{20116393375104} is an apocalyptic number.

20116393375104 is a gapful number since it is divisible by the number (24) 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 20116393375104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31264498596240).

20116393375104 is an abundant number, since it is smaller than the sum of its proper divisors (42412603817376).

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

20116393375104 is a wasteful number, since it uses less digits than its factorization.

20116393375104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 20116393375104 in words is "twenty trillion, one hundred sixteen billion, three hundred ninety-three million, three hundred seventy-five thousand, one hundred four".