83505510144 has 720 divisors, whose sum is σ = 308707838208. Its totient is φ = 21905178624.

The previous prime is 83505510103. The next prime is 83505510259. The reversal of 83505510144 is 44101550538.

83505510144 is a `hidden beast` number, since 8 + 3 + 505 + 5 + 1 + 0 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83505510099 and 83505510108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 106105719 + ... + 106106505.

Almost surely, 2^83505510144 is an apocalyptic number.

83505510144 is a gapful number since it is divisible by the number (84) 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 83505510144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154353919104).

83505510144 is an abundant number, since it is smaller than the sum of its proper divisors (225202328064).

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

83505510144 is a wasteful number, since it uses less digits than its factorization.

83505510144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 83505510144 in words is "eighty-three billion, five hundred five million, five hundred ten thousand, one hundred forty-four".