89973529946496 has 576 divisors, whose sum is σ = 318962618657280. Its totient is φ = 24189458743296.

The previous prime is 89973529946477. The next prime is 89973529946539. The reversal of 89973529946496 is 69464992537998.

89973529946496 is a `hidden beast` number, since 8 + 9 + 9 + 7 + 3 + 5 + 29 + 94 + 6 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 7558889281 + ... + 7558901183.

It is an arithmetic number, because the mean of its divisors is an integer number (553754546280).

Almost surely, 2^{89973529946496} 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 89973529946496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159481309328640).

89973529946496 is an abundant number, since it is smaller than the sum of its proper divisors (228989088710784).

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

89973529946496 is a wasteful number, since it uses less digits than its factorization.

89973529946496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19831 (or 19809 counting only the distinct ones).

The product of its digits is 57140536320, while the sum is 90.

The spelling of 89973529946496 in words is "eighty-nine trillion, nine hundred seventy-three billion, five hundred twenty-nine million, nine hundred forty-six thousand, four hundred ninety-six".