87884225856 has 336 divisors, whose sum is σ = 298432118400. Its totient is φ = 24843829248.

The previous prime is 87884225813. The next prime is 87884225953. The reversal of 87884225856 is 65852248878.

87884225856 is a `hidden beast` number, since 8 + 7 + 8 + 8 + 42 + 2 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 87884225793 and 87884225802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154453540 + ... + 154454108.

Almost surely, 2^87884225856 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 87884225856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149216059200).

87884225856 is an abundant number, since it is smaller than the sum of its proper divisors (210547892544).

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

87884225856 is a wasteful number, since it uses less digits than its factorization.

87884225856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 694 counting only the distinct ones).

The product of its digits is 68812800, while the sum is 63.

The spelling of 87884225856 in words is "eighty-seven billion, eight hundred eighty-four million, two hundred twenty-five thousand, eight hundred fifty-six".