87924010896 has 400 divisors, whose sum is σ = 268965785088. Its totient is φ = 27695001600.

The previous prime is 87924010891. The next prime is 87924010901. The reversal of 87924010896 is 69801042978.

It is an interprime number because it is at equal distance from previous prime (87924010891) and next prime (87924010901).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (87924010891) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 485767926 + ... + 485768106.

Almost surely, 2^87924010896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87924010896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134482892544).

87924010896 is an abundant number, since it is smaller than the sum of its proper divisors (181041774192).

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

87924010896 is a wasteful number, since it uses less digits than its factorization.

87924010896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 87924010896 in words is "eighty-seven billion, nine hundred twenty-four million, ten thousand, eight hundred ninety-six".