83480355129600 has 5184 divisors, whose sum is σ = 381508621885440. Its totient is φ = 17683660800000.

The previous prime is 83480355129547. The next prime is 83480355129601. The reversal of 83480355129600 is 692155308438.

83480355129600 is a `hidden beast` number, since 8 + 3 + 4 + 8 + 0 + 3 + 5 + 5 + 1 + 29 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (83480355129601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 826538169550 + ... + 826538169650.

It is an arithmetic number, because the mean of its divisors is an integer number (73593484160).

Almost surely, 2^{83480355129600} is an apocalyptic number.

83480355129600 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 83480355129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190754310942720).

83480355129600 is an abundant number, since it is smaller than the sum of its proper divisors (298028266755840).

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

83480355129600 is a wasteful number, since it uses less digits than its factorization.

83480355129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 83480355129600 in words is "eighty-three trillion, four hundred eighty billion, three hundred fifty-five million, one hundred twenty-nine thousand, six hundred".