20140716960 has 864 divisors, whose sum is σ = 88952230080. Its totient is φ = 4241922048.

The previous prime is 20140716943. The next prime is 20140716979. The reversal of 20140716960 is 6961704102.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35773639 + ... + 35774201.

It is an arithmetic number, because the mean of its divisors is an integer number (102953970).

Almost surely, 2^20140716960 is an apocalyptic number.

20140716960 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 20140716960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44476115040).

20140716960 is an abundant number, since it is smaller than the sum of its proper divisors (68811513120).

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

20140716960 is a wasteful number, since it uses less digits than its factorization.

20140716960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

It can be divided in two parts, 201 and 40716960, that added together give a square (40717161 = 6381²).

The spelling of 20140716960 in words is "twenty billion, one hundred forty million, seven hundred sixteen thousand, nine hundred sixty".