87040929888 has 576 divisors, whose sum is σ = 297107274240. Its totient is φ = 24716989440.

The previous prime is 87040929881. The next prime is 87040929907. The reversal of 87040929888 is 88892904078.

It is a happy number.

It is a super-2 number, since 2×87040929888² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87040929881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127438795 + ... + 127439477.

It is an arithmetic number, because the mean of its divisors is an integer number (515811240).

Almost surely, 2^87040929888 is an apocalyptic number.

87040929888 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87040929888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148553637120).

87040929888 is an abundant number, since it is smaller than the sum of its proper divisors (210066344352).

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

87040929888 is a wasteful number, since it uses less digits than its factorization.

87040929888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 87040929888 in words is "eighty-seven billion, forty million, nine hundred twenty-nine thousand, eight hundred eighty-eight".