1090053619200 has 720 divisors, whose sum is σ = 4801278177696. Its totient is φ = 229987123200.

The previous prime is 1090053619141. The next prime is 1090053619211. The reversal of 1090053619200 is 29163500901.

1090053619200 is a `hidden beast` number, since 1 + 0 + 90 + 0 + 5 + 361 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10431210 + ... + 10535190.

Almost surely, 2^{1090053619200} is an apocalyptic number.

1090053619200 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 1090053619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400639088848).

1090053619200 is an abundant number, since it is smaller than the sum of its proper divisors (3711224558496).

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

1090053619200 is a wasteful number, since it uses less digits than its factorization.

1090053619200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104035 (or 104011 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 1090053619200 in words is "one trillion, ninety billion, fifty-three million, six hundred nineteen thousand, two hundred".