20716467762816 has 768 divisors, whose sum is σ = 72699818803200. Its totient is φ = 5789248174080.

The previous prime is 20716467762803. The next prime is 20716467762841. The reversal of 20716467762816 is 61826776461702.

20716467762816 is a `hidden beast` number, since 2 + 0 + 71 + 6 + 467 + 76 + 28 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1526968065 + ... + 1526981631.

It is an arithmetic number, because the mean of its divisors is an integer number (94661222400).

Almost surely, 2^{20716467762816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20716467762816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36349909401600).

20716467762816 is an abundant number, since it is smaller than the sum of its proper divisors (51983351040384).

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

20716467762816 is a wasteful number, since it uses less digits than its factorization.

20716467762816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13802 (or 13777 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 20716467762816 in words is "twenty trillion, seven hundred sixteen billion, four hundred sixty-seven million, seven hundred sixty-two thousand, eight hundred sixteen".