88509313152 has 192 divisors, whose sum is σ = 275009880600. Its totient is φ = 27161837568.

The previous prime is 88509313147. The next prime is 88509313153. The reversal of 88509313152 is 25131390588.

88509313152 is a `hidden beast` number, since 8 + 8 + 509 + 3 + 131 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75133002816 + 13376310336 = 274104^2 + 115656^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 88509313098 and 88509313107.

It is not an unprimeable number, because it can be changed into a prime (88509313153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5818068 + ... + 5833260.

Almost surely, 2^88509313152 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 88509313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137504940300).

88509313152 is an abundant number, since it is smaller than the sum of its proper divisors (186500567448).

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

88509313152 is a wasteful number, since it uses less digits than its factorization.

88509313152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15615 (or 15600 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 88509313152 in words is "eighty-eight billion, five hundred nine million, three hundred thirteen thousand, one hundred fifty-two".