83771919360 has 352 divisors, whose sum is σ = 302785689600. Its totient is φ = 21958410240.

The previous prime is 83771919323. The next prime is 83771919377. The reversal of 83771919360 is 6391917738.

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 = 83771919297 and 83771919306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8151025 + ... + 8161295.

Almost surely, 2^83771919360 is an apocalyptic number.

83771919360 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 83771919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151392844800).

83771919360 is an abundant number, since it is smaller than the sum of its proper divisors (219013770240).

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

83771919360 is a wasteful number, since it uses less digits than its factorization.

83771919360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10364 (or 10340 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 83771919360 in words is "eighty-three billion, seven hundred seventy-one million, nine hundred nineteen thousand, three hundred sixty".