88575576552 has 192 divisors, whose sum is σ = 255774879360. Its totient is φ = 27631296000.

The previous prime is 88575576539. The next prime is 88575576559. The reversal of 88575576552 is 25567557588.

It is a happy number.

88575576552 is a `hidden beast` number, since 8 + 8 + 5 + 7 + 5 + 5 + 76 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 88575576552.

It is not an unprimeable number, because it can be changed into a prime (88575576559) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19897927 + ... + 19902377.

It is an arithmetic number, because the mean of its divisors is an integer number (1332160830).

Almost surely, 2^88575576552 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 88575576552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127887439680).

88575576552 is an abundant number, since it is smaller than the sum of its proper divisors (167199302808).

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

88575576552 is a wasteful number, since it uses less digits than its factorization.

88575576552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744 (or 4737 counting only the distinct ones).

The product of its digits is 117600000, while the sum is 63.

The spelling of 88575576552 in words is "eighty-eight billion, five hundred seventy-five million, five hundred seventy-six thousand, five hundred fifty-two".