89857001388000 has 3072 divisors, whose sum is σ = 404569586663424. Its totient is φ = 16860856320000.

The previous prime is 89857001387987. The next prime is 89857001388023. The reversal of 89857001388000 is 88310075898.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 61842395274 + ... + 61842396726.

It is an arithmetic number, because the mean of its divisors is an integer number (131695828992).

Almost surely, 2^{89857001388000} is an apocalyptic number.

89857001388000 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 89857001388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202284793331712).

89857001388000 is an abundant number, since it is smaller than the sum of its proper divisors (314712585275424).

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

89857001388000 is a wasteful number, since it uses less digits than its factorization.

89857001388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 57.

The spelling of 89857001388000 in words is "eighty-nine trillion, eight hundred fifty-seven billion, one million, three hundred eighty-eight thousand".