83893440960 has 672 divisors, whose sum is σ = 349251056640. Its totient is φ = 18898790400.

The previous prime is 83893440931. The next prime is 83893440991. The reversal of 83893440960 is 6904439838.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×83893440960² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 83893440897 and 83893440906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30057165 + ... + 30059955.

Almost surely, 2^83893440960 is an apocalyptic number.

83893440960 is a gapful number since it is divisible by the number (80) 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 83893440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174625528320).

83893440960 is an abundant number, since it is smaller than the sum of its proper divisors (265357615680).

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

83893440960 is a wasteful number, since it uses less digits than its factorization.

83893440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 83893440960 in words is "eighty-three billion, eight hundred ninety-three million, four hundred forty thousand, nine hundred sixty".