83755893944160 has 384 divisors, whose sum is σ = 294465565900800. Its totient is φ = 22234528512000.

The previous prime is 83755893944159. The next prime is 83755893944237. The reversal of 83755893944160 is 6144939855738.

83755893944160 is a `hidden beast` number, since 8 + 3 + 7 + 5 + 589 + 39 + 4 + 4 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×83755893944160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1028408721 + ... + 1028490159.

It is an arithmetic number, because the mean of its divisors is an integer number (766837411200).

Almost surely, 2^{83755893944160} is an apocalyptic number.

83755893944160 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 83755893944160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147232782950400).

83755893944160 is an abundant number, since it is smaller than the sum of its proper divisors (210709671956640).

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

83755893944160 is a wasteful number, since it uses less digits than its factorization.

83755893944160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82531 (or 82517 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 83755893944160 in words is "eighty-three trillion, seven hundred fifty-five billion, eight hundred ninety-three million, nine hundred forty-four thousand, one hundred sixty".