89370854118000 has 4800 divisors, whose sum is σ = 422166179635200. Its totient is φ = 18188561664000.

The previous prime is 89370854117977. The next prime is 89370854118043. The reversal of 89370854118000 is 81145807398.

89370854118000 is a `hidden beast` number, since 8 + 9 + 3 + 70 + 85 + 411 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 291110273847 + ... + 291110274153.

It is an arithmetic number, because the mean of its divisors is an integer number (87951287424).

Almost surely, 2^{89370854118000} is an apocalyptic number.

89370854118000 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 89370854118000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211083089817600).

89370854118000 is an abundant number, since it is smaller than the sum of its proper divisors (332795325517200).

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

89370854118000 is a wasteful number, since it uses less digits than its factorization.

89370854118000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 89370854118000 in words is "eighty-nine trillion, three hundred seventy billion, eight hundred fifty-four million, one hundred eighteen thousand".