89541728640 has 2048 divisors, whose sum is σ = 427166208000. Its totient is φ = 17414258688.

The previous prime is 89541728599. The next prime is 89541728699. The reversal of 89541728640 is 4682714598.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2420046702 + ... + 2420046738.

It is an arithmetic number, because the mean of its divisors is an integer number (208577250).

Almost surely, 2^89541728640 is an apocalyptic number.

89541728640 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 89541728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213583104000).

89541728640 is an abundant number, since it is smaller than the sum of its proper divisors (337624479360).

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

89541728640 is a wasteful number, since it uses less digits than its factorization.

89541728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 89541728640 in words is "eighty-nine billion, five hundred forty-one million, seven hundred twenty-eight thousand, six hundred forty".