1088815728000 has 4096 divisors, whose sum is σ = 5419998904320. Its totient is φ = 185794560000.

The previous prime is 1088815727953. The next prime is 1088815728029. The reversal of 1088815728000 is 8275188801.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 25321295979 + ... + 25321296021.

It is an arithmetic number, because the mean of its divisors is an integer number (1323241920).

Almost surely, 2^{1088815728000} is an apocalyptic number.

1088815728000 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 1088815728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709999452160).

1088815728000 is an abundant number, since it is smaller than the sum of its proper divisors (4331183176320).

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

1088815728000 is a wasteful number, since it uses less digits than its factorization.

1088815728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 48.

The spelling of 1088815728000 in words is "one trillion, eighty-eight billion, eight hundred fifteen million, seven hundred twenty-eight thousand".