88497200609568 has 144 divisors (see below), whose sum is σ = 252703658745720. Its totient is φ = 29377282572288.

The previous prime is 88497200609539. The next prime is 88497200609579. The reversal of 88497200609568 is 86590600279488.

88497200609568 is a `hidden beast` number, since 8 + 8 + 4 + 9 + 7 + 2 + 0 + 0 + 609 + 5 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 85270966755984 + 3226233853584 = 9234228^2 + 1796172^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 88497200609496 and 88497200609505.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188564896 + ... + 189033632.

Almost surely, 2^{88497200609568} 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 88497200609568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126351829372860).

88497200609568 is an abundant number, since it is smaller than the sum of its proper divisors (164206458136152).

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

88497200609568 is a wasteful number, since it uses less digits than its factorization.

88497200609568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471459 (or 471448 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 88497200609568 in words is "eighty-eight trillion, four hundred ninety-seven billion, two hundred million, six hundred nine thousand, five hundred sixty-eight".