87563825888 has 192 divisors, whose sum is σ = 224114688000. Its totient is φ = 32676618240.

The previous prime is 87563825837. The next prime is 87563825897. The reversal of 87563825888 is 88852836578.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9070088 + ... + 9079736.

It is an arithmetic number, because the mean of its divisors is an integer number (1167264000).

Almost surely, 2^87563825888 is an apocalyptic number.

87563825888 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87563825888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112057344000).

87563825888 is an abundant number, since it is smaller than the sum of its proper divisors (136550862112).

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

87563825888 is a wasteful number, since it uses less digits than its factorization.

87563825888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9833 (or 9825 counting only the distinct ones).

The product of its digits is 206438400, while the sum is 68.

The spelling of 87563825888 in words is "eighty-seven billion, five hundred sixty-three million, eight hundred twenty-five thousand, eight hundred eighty-eight".