87153421824 has 640 divisors, whose sum is σ = 322436505600. Its totient is φ = 22666936320.

The previous prime is 87153421799. The next prime is 87153421837. The reversal of 87153421824 is 42812435178.

87153421824 is a `hidden beast` number, since 8 + 71 + 534 + 21 + 8 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 87153421824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50995882 + ... + 50997590.

It is an arithmetic number, because the mean of its divisors is an integer number (503807040).

Almost surely, 2^87153421824 is an apocalyptic number.

87153421824 is a gapful number since it is divisible by the number (84) 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 87153421824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161218252800).

87153421824 is an abundant number, since it is smaller than the sum of its proper divisors (235283083776).

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

87153421824 is a wasteful number, since it uses less digits than its factorization.

87153421824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1769 counting only the distinct ones).

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

The spelling of 87153421824 in words is "eighty-seven billion, one hundred fifty-three million, four hundred twenty-one thousand, eight hundred twenty-four".