1088145528600 has 192 divisors, whose sum is σ = 3634517376000. Its totient is φ = 267719569920.

The previous prime is 1088145528541. The next prime is 1088145528647. The reversal of 1088145528600 is 68255418801.

It is a self number, because there is not a number n which added to its sum of digits gives 1088145528600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16338969 + ... + 16405431.

It is an arithmetic number, because the mean of its divisors is an integer number (18929778000).

Almost surely, 2^{1088145528600} is an apocalyptic number.

1088145528600 is a gapful number since it is divisible by the number (10) 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 1088145528600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817258688000).

1088145528600 is an abundant number, since it is smaller than the sum of its proper divisors (2546371847400).

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

1088145528600 is a wasteful number, since it uses less digits than its factorization.

1088145528600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68594 (or 68585 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 48.

The spelling of 1088145528600 in words is "one trillion, eighty-eight billion, one hundred forty-five million, five hundred twenty-eight thousand, six hundred".