83051407868208 has 320 divisors, whose sum is σ = 252680299425792. Its totient is φ = 23261983211520.

The previous prime is 83051407868207. The next prime is 83051407868291. The reversal of 83051407868208 is 80286870415038.

It is not an unprimeable number, because it can be changed into a prime (83051407868207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 584291835 + ... + 584433957.

Almost surely, 2^{83051407868208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83051407868208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126340149712896).

83051407868208 is an abundant number, since it is smaller than the sum of its proper divisors (169628891557584).

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

83051407868208 is a wasteful number, since it uses less digits than its factorization.

83051407868208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143972 (or 143966 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 60.

The spelling of 83051407868208 in words is "eighty-three trillion, fifty-one billion, four hundred seven million, eight hundred sixty-eight thousand, two hundred eight".