83316165924240 has 400 divisors, whose sum is σ = 308420257875840. Its totient is φ = 20772238233600.

The previous prime is 83316165924239. The next prime is 83316165924253. The reversal of 83316165924240 is 4242956161338.

It is a happy number.

83316165924240 is a `hidden beast` number, since 8 + 3 + 3 + 1 + 6 + 1 + 6 + 592 + 4 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14129791 + ... + 19138529.

Almost surely, 2^{83316165924240} is an apocalyptic number.

83316165924240 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 83316165924240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154210128937920).

83316165924240 is an abundant number, since it is smaller than the sum of its proper divisors (225104091951600).

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

83316165924240 is a wasteful number, since it uses less digits than its factorization.

83316165924240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008932 (or 5008917 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 83316165924240 in words is "eighty-three trillion, three hundred sixteen billion, one hundred sixty-five million, nine hundred twenty-four thousand, two hundred forty".