20116762525664 has 384 divisors, whose sum is σ = 47705946624000. Its totient is φ = 8173344890880.

The previous prime is 20116762525631. The next prime is 20116762525669. The reversal of 20116762525664 is 46652526761102.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20116762525669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12986934362 + ... + 12986935910.

It is an arithmetic number, because the mean of its divisors is an integer number (124234236000).

Almost surely, 2^{20116762525664} 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 20116762525664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23852973312000).

20116762525664 is an abundant number, since it is smaller than the sum of its proper divisors (27589184098336).

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

20116762525664 is a wasteful number, since it uses less digits than its factorization.

20116762525664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 53.

The spelling of 20116762525664 in words is "twenty trillion, one hundred sixteen billion, seven hundred sixty-two million, five hundred twenty-five thousand, six hundred sixty-four".