83330655207120 has 240 divisors, whose sum is σ = 283358705310720. Its totient is φ = 21944379718656.

The previous prime is 83330655207089. The next prime is 83330655207223. The reversal of 83330655207120 is 2170255603338.

83330655207120 is a `hidden beast` number, since 8 + 3 + 3 + 3 + 0 + 6 + 552 + 0 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22715601 + ... + 26127759.

It is an arithmetic number, because the mean of its divisors is an integer number (1180661272128).

Almost surely, 2^{83330655207120} is an apocalyptic number.

83330655207120 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 83330655207120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141679352655360).

83330655207120 is an abundant number, since it is smaller than the sum of its proper divisors (200028050103600).

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

83330655207120 is a wasteful number, since it uses less digits than its factorization.

83330655207120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412602 (or 3412593 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 83330655207120 in words is "eighty-three trillion, three hundred thirty billion, six hundred fifty-five million, two hundred seven thousand, one hundred twenty".