89755319808 has 720 divisors, whose sum is σ = 336329794944. Its totient is φ = 23245885440.

The previous prime is 89755319777. The next prime is 89755319821. The reversal of 89755319808 is 80891355798.

89755319808 is a `hidden beast` number, since 8 + 9 + 7 + 5 + 531 + 98 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 258660691 + ... + 258661037.

Almost surely, 2^89755319808 is an apocalyptic number.

89755319808 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 89755319808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168164897472).

89755319808 is an abundant number, since it is smaller than the sum of its proper divisors (246574475136).

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

89755319808 is an frugal number, since it uses more digits than its factorization.

89755319808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 89755319808 in words is "eighty-nine billion, seven hundred fifty-five million, three hundred nineteen thousand, eight hundred eight".