85997389101120 has 1344 divisors, whose sum is σ = 355734650658816. Its totient is φ = 18643289702400.

The previous prime is 85997389101073. The next prime is 85997389101277. The reversal of 85997389101120 is 2110198379958.

85997389101120 is a `hidden beast` number, since 8 + 59 + 97 + 389 + 1 + 0 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66304848312 + ... + 66304849608.

Almost surely, 2^{85997389101120} is an apocalyptic number.

85997389101120 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 85997389101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177867325329408).

85997389101120 is an abundant number, since it is smaller than the sum of its proper divisors (269737261557696).

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

85997389101120 is a wasteful number, since it uses less digits than its factorization.

85997389101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 63.

The spelling of 85997389101120 in words is "eighty-five trillion, nine hundred ninety-seven billion, three hundred eighty-nine million, one hundred one thousand, one hundred twenty".