83625135104 has 88 divisors (see below), whose sum is σ = 192196596480. Its totient is φ = 35624226816.

The previous prime is 83625135073. The next prime is 83625135109. The reversal of 83625135104 is 40153152638.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (83625135109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1162127 + ... + 1231985.

Almost surely, 2^83625135104 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 83625135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96098298240).

83625135104 is an abundant number, since it is smaller than the sum of its proper divisors (108571461376).

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

83625135104 is a wasteful number, since it uses less digits than its factorization.

83625135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70053 (or 70035 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 83625135104 in words is "eighty-three billion, six hundred twenty-five million, one hundred thirty-five thousand, one hundred four".