89750751980544 has 264 divisors, whose sum is σ = 260938463818032. Its totient is φ = 29711369502720.

The previous prime is 89750751980509. The next prime is 89750751980597. The reversal of 89750751980544 is 44508915705798.

It is a happy number.

89750751980544 is a `hidden beast` number, since 8 + 9 + 7 + 5 + 0 + 75 + 1 + 9 + 8 + 0 + 544 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 1054719439 + ... + 1054804529.

It is an arithmetic number, because the mean of its divisors is an integer number (988403272038).

Almost surely, 2^{89750751980544} 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 89750751980544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130469231909016).

89750751980544 is an abundant number, since it is smaller than the sum of its proper divisors (171187711837488).

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

89750751980544 is a wasteful number, since it uses less digits than its factorization.

89750751980544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85903 (or 85882 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 72.

The spelling of 89750751980544 in words is "eighty-nine trillion, seven hundred fifty billion, seven hundred fifty-one million, nine hundred eighty thousand, five hundred forty-four".