87391789056 has 672 divisors, whose sum is σ = 308570790528. Its totient is φ = 24365629440.

The previous prime is 87391789031. The next prime is 87391789189. The reversal of 87391789056 is 65098719378.

It is a super-2 number, since 2×87391789056² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87391788984 and 87391789002.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 284663655 + ... + 284663961.

It is an arithmetic number, because the mean of its divisors is an integer number (459182724).

Almost surely, 2^87391789056 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 87391789056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154285395264).

87391789056 is an abundant number, since it is smaller than the sum of its proper divisors (221179001472).

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

87391789056 is a wasteful number, since it uses less digits than its factorization.

87391789056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 87391789056 in words is "eighty-seven billion, three hundred ninety-one million, seven hundred eighty-nine thousand, fifty-six".