83471990625072 has 640 divisors, whose sum is σ = 282617126584320. Its totient is φ = 23093529338880.

The previous prime is 83471990625011. The next prime is 83471990625131. The reversal of 83471990625072 is 27052609917438.

83471990625072 is a `hidden beast` number, since 8 + 3 + 471 + 9 + 90 + 6 + 2 + 5 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9452151697 + ... + 9452160527.

It is an arithmetic number, because the mean of its divisors is an integer number (441589260288).

It is a 1-persistent number, because it is pandigital, but 2⋅83471990625072 = 166943981250144 is not.

Almost surely, 2^{83471990625072} 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 83471990625072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141308563292160).

83471990625072 is an abundant number, since it is smaller than the sum of its proper divisors (199145135959248).

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

83471990625072 is a wasteful number, since it uses less digits than its factorization.

83471990625072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9518 (or 9506 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 83471990625072 in words is "eighty-three trillion, four hundred seventy-one billion, nine hundred ninety million, six hundred twenty-five thousand, seventy-two".