983138628240 has 120 divisors (see below), whose sum is σ = 3305448556800. Its totient is φ = 261873222912.

The previous prime is 983138628163. The next prime is 983138628313. The reversal of 983138628240 is 42826831389.

983138628240 is a `hidden beast` number, since 9 + 8 + 3 + 1 + 3 + 8 + 628 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137440 + ... + 1408959.

It is an arithmetic number, because the mean of its divisors is an integer number (27545404640).

Almost surely, 2^983138628240 is an apocalyptic number.

983138628240 is a gapful number since it is divisible by the number (90) 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 983138628240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652724278400).

983138628240 is an abundant number, since it is smaller than the sum of its proper divisors (2322309928560).

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

983138628240 is a wasteful number, since it uses less digits than its factorization.

983138628240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547301 (or 1547292 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 983138628240 in words is "nine hundred eighty-three billion, one hundred thirty-eight million, six hundred twenty-eight thousand, two hundred forty".