83603802240 has 1024 divisors, whose sum is σ = 362558592000. Its totient is φ = 17772576768.

The previous prime is 83603802203. The next prime is 83603802277. The reversal of 83603802240 is 4220830638.

83603802240 is a `hidden beast` number, since 8 + 3 + 603 + 8 + 0 + 2 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (83603802203) and next prime (83603802277).

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 = 83603802195 and 83603802204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 224138694 + ... + 224139066.

It is an arithmetic number, because the mean of its divisors is an integer number (354061125).

Almost surely, 2^83603802240 is an apocalyptic number.

83603802240 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 83603802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181279296000).

83603802240 is an abundant number, since it is smaller than the sum of its proper divisors (278954789760).

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

83603802240 is a wasteful number, since it uses less digits than its factorization.

83603802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 83603802240 in words is "eighty-three billion, six hundred three million, eight hundred two thousand, two hundred forty".