887557664448 has 672 divisors, whose sum is σ = 3177705323520. Its totient is φ = 230623027200.

The previous prime is 887557664407. The next prime is 887557664509. The reversal of 887557664448 is 844466755788.

887557664448 is a `hidden beast` number, since 8 + 8 + 7 + 5 + 576 + 6 + 4 + 4 + 48 = 666.

887557664448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1900551511 + ... + 1900551977.

It is an arithmetic number, because the mean of its divisors is an integer number (4728728160).

Almost surely, 2^887557664448 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 887557664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588852661760).

887557664448 is an abundant number, since it is smaller than the sum of its proper divisors (2290147659072).

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

887557664448 is a wasteful number, since it uses less digits than its factorization.

887557664448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 952 counting only the distinct ones).

The product of its digits is 1445068800, while the sum is 72.

The spelling of 887557664448 in words is "eight hundred eighty-seven billion, five hundred fifty-seven million, six hundred sixty-four thousand, four hundred forty-eight".