89388748800 has 780 divisors, whose sum is σ = 357018004420. Its totient is φ = 21976842240.

The previous prime is 89388748741. The next prime is 89388748811. The reversal of 89388748800 is 884788398.

It can be written as a sum of positive squares in 6 ways, for example, as 7766544384 + 81622204416 = 88128^2 + 285696^2 .

It is a tau number, because it is divible by the number of its divisors (780).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 107826786 + ... + 107827614.

Almost surely, 2^89388748800 is an apocalyptic number.

89388748800 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 89388748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178509002210).

89388748800 is an abundant number, since it is smaller than the sum of its proper divisors (267629255620).

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

89388748800 is a wasteful number, since it uses less digits than its factorization.

89388748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 89388748800 in words is "eighty-nine billion, three hundred eighty-eight million, seven hundred forty-eight thousand, eight hundred".