83134770808320 has 1440 divisors, whose sum is σ = 367117338272256. Its totient is φ = 17192344780800.

The previous prime is 83134770808307. The next prime is 83134770808321. The reversal of 83134770808320 is 2380807743138.

It is a happy number.

83134770808320 is a `hidden beast` number, since 8 + 3 + 13 + 477 + 0 + 80 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×83134770808320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83134770808321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2620300297 + ... + 2620332023.

Almost surely, 2^{83134770808320} is an apocalyptic number.

83134770808320 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 83134770808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183558669136128).

83134770808320 is an abundant number, since it is smaller than the sum of its proper divisors (283982567463936).

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

83134770808320 is a wasteful number, since it uses less digits than its factorization.

83134770808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31992 (or 31966 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 83134770808320 in words is "eighty-three trillion, one hundred thirty-four billion, seven hundred seventy million, eight hundred eight thousand, three hundred twenty".