87411128832 has 320 divisors, whose sum is σ = 279038390400. Its totient is φ = 26926940160.

The previous prime is 87411128767. The next prime is 87411128837. The reversal of 87411128832 is 23882111478.

87411128832 is a `hidden beast` number, since 87 + 411 + 128 + 8 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (87411128837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10764838 + ... + 10772954.

It is an arithmetic number, because the mean of its divisors is an integer number (871994970).

Almost surely, 2^87411128832 is an apocalyptic number.

87411128832 is a gapful number since it is divisible by the number (82) 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 87411128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139519195200).

87411128832 is an abundant number, since it is smaller than the sum of its proper divisors (191627261568).

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

87411128832 is a wasteful number, since it uses less digits than its factorization.

87411128832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8204 (or 8182 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The spelling of 87411128832 in words is "eighty-seven billion, four hundred eleven million, one hundred twenty-eight thousand, eight hundred thirty-two".