89685975000384 has 420 divisors, whose sum is σ = 322708824861984. Its totient is φ = 24510451198464.

The previous prime is 89685975000383. The next prime is 89685975000439. The reversal of 89685975000384 is 48300057958698.

89685975000384 is a `hidden beast` number, since 8 + 9 + 6 + 85 + 9 + 7 + 500 + 0 + 38 + 4 = 666.

It is a super-2 number, since 2×89685975000384² (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 (89685975000383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1833114 + ... + 13517849.

Almost surely, 2^{89685975000384} is an apocalyptic number.

89685975000384 is a gapful number since it is divisible by the number (84) 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 89685975000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161354412430992).

89685975000384 is an abundant number, since it is smaller than the sum of its proper divisors (233022849861600).

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

89685975000384 is a wasteful number, since it uses less digits than its factorization.

89685975000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15351024 (or 15350998 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 89685975000384 in words is "eighty-nine trillion, six hundred eighty-five billion, nine hundred seventy-five million, three hundred eighty-four", and thus it is an aban number.