88442746560 has 784 divisors, whose sum is σ = 369952414272. Its totient is φ = 19707494400.

The previous prime is 88442746559. The next prime is 88442746573. The reversal of 88442746560 is 6564724488.

It is a happy number.

88442746560 is a `hidden beast` number, since 8 + 8 + 4 + 4 + 2 + 74 + 6 + 560 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 88442746497 and 88442746506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 66950700 + ... + 66952020.

Almost surely, 2^88442746560 is an apocalyptic number.

88442746560 is a gapful number since it is divisible by the number (80) 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 88442746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184976207136).

88442746560 is an abundant number, since it is smaller than the sum of its proper divisors (281509667712).

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

88442746560 is a wasteful number, since it uses less digits than its factorization.

88442746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 88442746560 in words is "eighty-eight billion, four hundred forty-two million, seven hundred forty-six thousand, five hundred sixty".