83886865920 has 1920 divisors, whose sum is σ = 378353783808. Its totient is φ = 17517772800.

The previous prime is 83886865919. The next prime is 83886865957. The reversal of 83886865920 is 2956868838.

83886865920 is a `hidden beast` number, since 8 + 38 + 8 + 6 + 8 + 6 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2046021100 + ... + 2046021140.

Almost surely, 2^83886865920 is an apocalyptic number.

83886865920 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 83886865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189176891904).

83886865920 is an abundant number, since it is smaller than the sum of its proper divisors (294466917888).

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

83886865920 is a wasteful number, since it uses less digits than its factorization.

83886865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 83886865920 in words is "eighty-three billion, eight hundred eighty-six million, eight hundred sixty-five thousand, nine hundred twenty".