89528986513152 has 792 divisors, whose sum is σ = 278592915489840. Its totient is φ = 28680316600320.

The previous prime is 89528986513151. The next prime is 89528986513157. The reversal of 89528986513152 is 25131568982598.

89528986513152 is a `hidden beast` number, since 8 + 9 + 5 + 2 + 8 + 98 + 6 + 513 + 15 + 2 = 666.

It is a super-2 number, since 2×89528986513152² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89528986513151) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 145103705548 + ... + 145103706164.

Almost surely, 2^{89528986513152} 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 89528986513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139296457744920).

89528986513152 is an abundant number, since it is smaller than the sum of its proper divisors (189063928976688).

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

89528986513152 is an frugal number, since it uses more digits than its factorization.

89528986513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 982 counting only the distinct ones).

The product of its digits is 373248000, while the sum is 72.

The spelling of 89528986513152 in words is "eighty-nine trillion, five hundred twenty-eight billion, nine hundred eighty-six million, five hundred thirteen thousand, one hundred fifty-two".