87146400528 has 200 divisors, whose sum is σ = 287121105216. Its totient is φ = 25259731200.

The previous prime is 87146400493. The next prime is 87146400529. The reversal of 87146400528 is 82500464178.

87146400528 is a `hidden beast` number, since 87 + 1 + 4 + 6 + 40 + 0 + 528 = 666.

It is not an unprimeable number, because it can be changed into a prime (87146400529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194998 + ... + 460778.

Almost surely, 2^87146400528 is an apocalyptic number.

87146400528 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 87146400528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143560552608).

87146400528 is an abundant number, since it is smaller than the sum of its proper divisors (199974704688).

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

87146400528 is a wasteful number, since it uses less digits than its factorization.

87146400528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265835 (or 265820 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 87146400528 in words is "eighty-seven billion, one hundred forty-six million, four hundred thousand, five hundred twenty-eight".