1090180388000 has 192 divisors, whose sum is σ = 2923484368896. Its totient is φ = 396238720000.

The previous prime is 1090180387981. The next prime is 1090180388009. The reversal of 1090180388000 is 8830810901.

1090180388000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1090180388009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118223390 + ... + 118232610.

It is an arithmetic number, because the mean of its divisors is an integer number (15226481088).

Almost surely, 2^{1090180388000} is an apocalyptic number.

1090180388000 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 1090180388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461742184448).

1090180388000 is an abundant number, since it is smaller than the sum of its proper divisors (1833303980896).

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

1090180388000 is a wasteful number, since it uses less digits than its factorization.

1090180388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11944 (or 11926 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 38.

The spelling of 1090180388000 in words is "one trillion, ninety billion, one hundred eighty million, three hundred eighty-eight thousand".