89545671072000 has 4032 divisors, whose sum is σ = 416298201096960. Its totient is φ = 18847531008000.

The previous prime is 89545671071977. The next prime is 89545671072043. The reversal of 89545671072000 is 27017654598.

89545671072000 is a `hidden beast` number, since 8 + 9 + 5 + 4 + 567 + 1 + 0 + 72 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 56710367211 + ... + 56710368789.

It is an arithmetic number, because the mean of its divisors is an integer number (103248561780).

Almost surely, 2^{89545671072000} is an apocalyptic number.

89545671072000 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 89545671072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208149100548480).

89545671072000 is an abundant number, since it is smaller than the sum of its proper divisors (326752530024960).

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

89545671072000 is a wasteful number, since it uses less digits than its factorization.

89545671072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 89545671072000 in words is "eighty-nine trillion, five hundred forty-five billion, six hundred seventy-one million, seventy-two thousand".