87871523040 has 576 divisors, whose sum is σ = 367507445760. Its totient is φ = 18661294080.

The previous prime is 87871523017. The next prime is 87871523041. The reversal of 87871523040 is 4032517878.

87871523040 is a `hidden beast` number, since 8 + 7 + 87 + 1 + 523 + 0 + 40 = 666.

It is a super-2 number, since 2×87871523040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87871523041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13534195 + ... + 13540685.

It is an arithmetic number, because the mean of its divisors is an integer number (638033760).

Almost surely, 2^87871523040 is an apocalyptic number.

87871523040 is a gapful number since it is divisible by the number (80) 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 87871523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183753722880).

87871523040 is an abundant number, since it is smaller than the sum of its proper divisors (279635922720).

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

87871523040 is a wasteful number, since it uses less digits than its factorization.

87871523040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 87871523040 in words is "eighty-seven billion, eight hundred seventy-one million, five hundred twenty-three thousand, forty".