20768348160 has 960 divisors, whose sum is σ = 87999912000. Its totient is φ = 4682022912.

The previous prime is 20768348149. The next prime is 20768348171. The reversal of 20768348160 is 6184386702.

20768348160 is a `hidden beast` number, since 20 + 76 + 83 + 481 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20768348149) and next prime (20768348171).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 284497884 + ... + 284497956.

It is an arithmetic number, because the mean of its divisors is an integer number (91666575).

Almost surely, 2^20768348160 is an apocalyptic number.

20768348160 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 20768348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43999956000).

20768348160 is an abundant number, since it is smaller than the sum of its proper divisors (67231563840).

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

20768348160 is an frugal number, since it uses more digits than its factorization.

20768348160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20768348160 in words is "twenty billion, seven hundred sixty-eight million, three hundred forty-eight thousand, one hundred sixty".