96628121856 has 1008 divisors, whose sum is σ = 369965635200. Its totient is φ = 24508956672.

The previous prime is 96628121851. The next prime is 96628121869. The reversal of 96628121856 is 65812182669.

96628121856 is a `hidden beast` number, since 9 + 6 + 628 + 1 + 2 + 1 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (96628121851) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 421956750 + ... + 421956978.

It is an arithmetic number, because the mean of its divisors is an integer number (367029400).

Almost surely, 2^96628121856 is an apocalyptic number.

96628121856 is a gapful number since it is divisible by the number (96) 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 96628121856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184982817600).

96628121856 is an abundant number, since it is smaller than the sum of its proper divisors (273337513344).

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

96628121856 is a wasteful number, since it uses less digits than its factorization.

96628121856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 277 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 96628121856 in words is "ninety-six billion, six hundred twenty-eight million, one hundred twenty-one thousand, eight hundred fifty-six".