1090392700800 has 384 divisors, whose sum is σ = 3871900620000. Its totient is φ = 268116295680.

The previous prime is 1090392700799. The next prime is 1090392700879. The reversal of 1090392700800 is 80072930901.

1090392700800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 130911036 + ... + 130919364.

Almost surely, 2^{1090392700800} is an apocalyptic number.

1090392700800 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 1090392700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935950310000).

1090392700800 is an abundant number, since it is smaller than the sum of its proper divisors (2781507919200).

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

1090392700800 is a wasteful number, since it uses less digits than its factorization.

1090392700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9418 (or 9401 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 1090392700800 in words is "one trillion, ninety billion, three hundred ninety-two million, seven hundred thousand, eight hundred".