2128368697560 has 768 divisors, whose sum is σ = 8960569712640. Its totient is φ = 443090165760.

The previous prime is 2128368697519. The next prime is 2128368697579. The reversal of 2128368697560 is 657968638212.

It is a happy number.

2128368697560 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 3 + 6 + 8 + 69 + 7 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35827402 + ... + 35886758.

It is an arithmetic number, because the mean of its divisors is an integer number (11667408480).

Almost surely, 2^{2128368697560} is an apocalyptic number.

2128368697560 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 2128368697560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480284856320).

2128368697560 is an abundant number, since it is smaller than the sum of its proper divisors (6832201015080).

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

2128368697560 is a wasteful number, since it uses less digits than its factorization.

2128368697560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59438 (or 59422 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2128368697560 in words is "two trillion, one hundred twenty-eight billion, three hundred sixty-eight million, six hundred ninety-seven thousand, five hundred sixty".