83376559647360 has 1280 divisors, whose sum is σ = 361023049728000. Its totient is φ = 17912123744256.

The previous prime is 83376559647307. The next prime is 83376559647413. The reversal of 83376559647360 is 6374695567338.

83376559647360 is a `hidden beast` number, since 8 + 3 + 3 + 7 + 6 + 5 + 5 + 96 + 473 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (83376559647307) and next prime (83376559647413).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 875581831 + ... + 875677049.

It is an arithmetic number, because the mean of its divisors is an integer number (282049257600).

Almost surely, 2^{83376559647360} is an apocalyptic number.

83376559647360 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 83376559647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180511524864000).

83376559647360 is an abundant number, since it is smaller than the sum of its proper divisors (277646490080640).

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

83376559647360 is a wasteful number, since it uses less digits than its factorization.

83376559647360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95403 (or 95382 counting only the distinct ones).

The product of its (nonzero) digits is 2057529600, while the sum is 72.

The spelling of 83376559647360 in words is "eighty-three trillion, three hundred seventy-six billion, five hundred fifty-nine million, six hundred forty-seven thousand, three hundred sixty".