83777532048 has 360 divisors, whose sum is σ = 290592338400. Its totient is φ = 22400437248.

The previous prime is 83777531927. The next prime is 83777532071. The reversal of 83777532048 is 84023577738.

It is a happy number.

83777532048 is a `hidden beast` number, since 8 + 37 + 77 + 532 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 83777531985 and 83777532003.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11123548 + ... + 11131076.

It is an arithmetic number, because the mean of its divisors is an integer number (807200940).

Almost surely, 2^83777532048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83777532048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145296169200).

83777532048 is an abundant number, since it is smaller than the sum of its proper divisors (206814806352).

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

83777532048 is a wasteful number, since it uses less digits than its factorization.

83777532048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7659 (or 7643 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 83777532048 in words is "eighty-three billion, seven hundred seventy-seven million, five hundred thirty-two thousand, forty-eight".