89743303286400 has 384 divisors, whose sum is σ = 304322087139840. Its totient is φ = 23231577600000.

The previous prime is 89743303286369. The next prime is 89743303286471. The reversal of 89743303286400 is 468230334798.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66619525 + ... + 67953275.

It is an arithmetic number, because the mean of its divisors is an integer number (792505435260).

Almost surely, 2^{89743303286400} is an apocalyptic number.

89743303286400 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 89743303286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152161043569920).

89743303286400 is an abundant number, since it is smaller than the sum of its proper divisors (214578783853440).

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

89743303286400 is a wasteful number, since it uses less digits than its factorization.

89743303286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333984 (or 1333967 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 57.

The spelling of 89743303286400 in words is "eighty-nine trillion, seven hundred forty-three billion, three hundred three million, two hundred eighty-six thousand, four hundred".