83625500323008 has 896 divisors, whose sum is σ = 303731493120000. Its totient is φ = 22017589641216.

The previous prime is 83625500322979. The next prime is 83625500323009. The reversal of 83625500323008 is 80032300552638.

83625500323008 is a `hidden beast` number, since 8 + 3 + 62 + 550 + 0 + 3 + 2 + 30 + 0 + 8 = 666.

It is a super-2 number, since 2×83625500323008² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83625500323009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5438341816 + ... + 5438357192.

Almost surely, 2^{83625500323008} 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 83625500323008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151865746560000).

83625500323008 is an abundant number, since it is smaller than the sum of its proper divisors (220105992796992).

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

83625500323008 is a wasteful number, since it uses less digits than its factorization.

83625500323008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15974 (or 15958 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 83625500323008 in words is "eighty-three trillion, six hundred twenty-five billion, five hundred million, three hundred twenty-three thousand, eight".