1085157900288 has 1024 divisors, whose sum is σ = 4248932889600. Its totient is φ = 264996126720.

The previous prime is 1085157900209. The next prime is 1085157900331. The reversal of 1085157900288 is 8820097515801.

1085157900288 is a `hidden beast` number, since 10 + 8 + 51 + 579 + 0 + 0 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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 63 ways as a sum of consecutive naturals, for example, 1158118956 + ... + 1158119892.

It is an arithmetic number, because the mean of its divisors is an integer number (4149348525).

Almost surely, 2^{1085157900288} is an apocalyptic number.

1085157900288 is a gapful number since it is divisible by the number (18) 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 1085157900288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124466444800).

1085157900288 is an abundant number, since it is smaller than the sum of its proper divisors (3163774989312).

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

1085157900288 is an equidigital number, since it uses as much as digits as its factorization.

1085157900288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 54.

The spelling of 1085157900288 in words is "one trillion, eighty-five billion, one hundred fifty-seven million, nine hundred thousand, two hundred eighty-eight".