83307768613888 has 352 divisors, whose sum is σ = 215113913957376. Its totient is φ = 31341650706432.

The previous prime is 83307768613829. The next prime is 83307768613931. The reversal of 83307768613888 is 88831686770338.

83307768613888 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×83307768613888² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 370666795 + ... + 370891477.

Almost surely, 2^{83307768613888} 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 83307768613888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107556956978688).

83307768613888 is an abundant number, since it is smaller than the sum of its proper divisors (131806145343488).

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

83307768613888 is a wasteful number, since it uses less digits than its factorization.

83307768613888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224919 (or 224901 counting only the distinct ones).

The product of its (nonzero) digits is 1560674304, while the sum is 76.

The spelling of 83307768613888 in words is "eighty-three trillion, three hundred seven billion, seven hundred sixty-eight million, six hundred thirteen thousand, eight hundred eighty-eight".