89135471131200 has 1008 divisors, whose sum is σ = 354022183796736. Its totient is φ = 21928170700800.

The previous prime is 89135471131081. The next prime is 89135471131253. The reversal of 89135471131200 is 213117453198.

89135471131200 is a `hidden beast` number, since 8 + 91 + 3 + 547 + 1 + 1 + 3 + 12 + 0 + 0 = 666.

It is a super-2 number, since 2×89135471131200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10882119105 + ... + 10882127295.

Almost surely, 2^{89135471131200} is an apocalyptic number.

89135471131200 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 89135471131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177011091898368).

89135471131200 is an abundant number, since it is smaller than the sum of its proper divisors (264886712665536).

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

89135471131200 is a wasteful number, since it uses less digits than its factorization.

89135471131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10394 (or 10367 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

Adding to 89135471131200 its reverse (213117453198), we get a palindrome (89348588584398).

The spelling of 89135471131200 in words is "eighty-nine trillion, one hundred thirty-five billion, four hundred seventy-one million, one hundred thirty-one thousand, two hundred".