83380602286080 has 1456 divisors, whose sum is σ = 330238348495776. Its totient is φ = 20030139924480.

The previous prime is 83380602286057. The next prime is 83380602286139. The reversal of 83380602286080 is 8068220608338.

83380602286080 is a `hidden beast` number, since 8 + 3 + 3 + 8 + 0 + 6 + 0 + 2 + 28 + 608 + 0 = 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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18557888314 + ... + 18557892806.

Almost surely, 2^{83380602286080} is an apocalyptic number.

83380602286080 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 83380602286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165119174247888).

83380602286080 is an abundant number, since it is smaller than the sum of its proper divisors (246857746209696).

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

83380602286080 is a wasteful number, since it uses less digits than its factorization.

83380602286080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 83380602286080 in words is "eighty-three trillion, three hundred eighty billion, six hundred two million, two hundred eighty-six thousand, eighty".