83951382303360 has 9216 divisors, whose sum is σ = 422667528192000. Its totient is φ = 15651333734400.

The previous prime is 83951382303359. The next prime is 83951382303443. The reversal of 83951382303360 is 6330328315938.

It is a happy number.

83951382303360 is a `hidden beast` number, since 8 + 3 + 9 + 513 + 8 + 2 + 30 + 33 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 83951382303297 and 83951382303306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 2708109106545 + ... + 2708109106575.

It is an arithmetic number, because the mean of its divisors is an integer number (45862362000).

Almost surely, 2^{83951382303360} is an apocalyptic number.

83951382303360 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 83951382303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211333764096000).

83951382303360 is an abundant number, since it is smaller than the sum of its proper divisors (338716145888640).

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

83951382303360 is a wasteful number, since it uses less digits than its factorization.

83951382303360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 83951382303360 in words is "eighty-three trillion, nine hundred fifty-one billion, three hundred eighty-two million, three hundred three thousand, three hundred sixty".