87978703824 has 960 divisors, whose sum is σ = 324493516800. Its totient is φ = 22469529600.

The previous prime is 87978703823. The next prime is 87978703849. The reversal of 87978703824 is 42830787978.

It is a super-2 number, since 2×87978703824² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87978703823) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2046016347 + ... + 2046016389.

It is an arithmetic number, because the mean of its divisors is an integer number (338014080).

Almost surely, 2^87978703824 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 87978703824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162246758400).

87978703824 is an abundant number, since it is smaller than the sum of its proper divisors (236514812976).

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

87978703824 is a wasteful number, since it uses less digits than its factorization.

87978703824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 87978703824 in words is "eighty-seven billion, nine hundred seventy-eight million, seven hundred three thousand, eight hundred twenty-four".