87692334912 has 896 divisors, whose sum is σ = 341376000000. Its totient is φ = 21873825792.

The previous prime is 87692334911. The next prime is 87692334929. The reversal of 87692334912 is 21943329678.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87692334911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146397589 + ... + 146398187.

It is an arithmetic number, because the mean of its divisors is an integer number (381000000).

Almost surely, 2^87692334912 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 87692334912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170688000000).

87692334912 is an abundant number, since it is smaller than the sum of its proper divisors (253683665088).

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

87692334912 is a wasteful number, since it uses less digits than its factorization.

87692334912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 643 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 87692334912 in words is "eighty-seven billion, six hundred ninety-two million, three hundred thirty-four thousand, nine hundred twelve".