85761613728 has 96 divisors (see below), whose sum is σ = 285872065920. Its totient is φ = 24503316480.

The previous prime is 85761613723. The next prime is 85761613733. The reversal of 85761613728 is 82731616758.

It is a happy number.

85761613728 is a `hidden beast` number, since 8 + 5 + 7 + 616 + 13 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (85761613723) and next prime (85761613733).

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 (54).

It is not an unprimeable number, because it can be changed into a prime (85761613723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7084033 + ... + 7096128.

It is an arithmetic number, because the mean of its divisors is an integer number (2977834020).

Almost surely, 2^85761613728 is an apocalyptic number.

It is an amenable number.

85761613728 is an abundant number, since it is smaller than the sum of its proper divisors (200110452192).

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

85761613728 is a wasteful number, since it uses less digits than its factorization.

85761613728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14180187 (or 14180173 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 85761613728 in words is "eighty-five billion, seven hundred sixty-one million, six hundred thirteen thousand, seven hundred twenty-eight".