85730099232 has 96 divisors (see below), whose sum is σ = 234696559104. Its totient is φ = 27369676800.

The previous prime is 85730099141. The next prime is 85730099269. The reversal of 85730099232 is 23299003758.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140182 + ... + 437162.

It is an arithmetic number, because the mean of its divisors is an integer number (2444755824).

Almost surely, 2^85730099232 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 85730099232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117348279552).

85730099232 is an abundant number, since it is smaller than the sum of its proper divisors (148966459872).

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

85730099232 is a wasteful number, since it uses less digits than its factorization.

85730099232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297122 (or 297114 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 85730099232 in words is "eighty-five billion, seven hundred thirty million, ninety-nine thousand, two hundred thirty-two".