20416638387264 has 168 divisors, whose sum is σ = 62841650357088. Its totient is φ = 5833028597760.

The previous prime is 20416638387259. The next prime is 20416638387283. The reversal of 20416638387264 is 46278383661402.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×20416638387264³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20416638387198 and 20416638387207.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240830644 + ... + 240915404.

Almost surely, 2^{20416638387264} is an apocalyptic number.

20416638387264 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 20416638387264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31420825178544).

20416638387264 is an abundant number, since it is smaller than the sum of its proper divisors (42425011969824).

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

20416638387264 is a wasteful number, since it uses less digits than its factorization.

20416638387264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110393 (or 110376 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 60.

The spelling of 20416638387264 in words is "twenty trillion, four hundred sixteen billion, six hundred thirty-eight million, three hundred eighty-seven thousand, two hundred sixty-four".