83048385040 has 80 divisors (see below), whose sum is σ = 204649245360. Its totient is φ = 31234129920.

The previous prime is 83048385031. The next prime is 83048385059. The reversal of 83048385040 is 4058384038.

It can be written as a sum of positive squares in 8 ways, for example, as 8086325776 + 74962059264 = 89924^2 + 273792^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1358656 + ... + 1418464.

It is an arithmetic number, because the mean of its divisors is an integer number (2558115567).

Almost surely, 2^83048385040 is an apocalyptic number.

83048385040 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 83048385040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102324622680).

83048385040 is an abundant number, since it is smaller than the sum of its proper divisors (121600860320).

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

83048385040 is a wasteful number, since it uses less digits than its factorization.

83048385040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60860 (or 60854 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 83048385040 in words is "eighty-three billion, forty-eight million, three hundred eighty-five thousand, forty".