1107489801600 has 3072 divisors, whose sum is σ = 5296860979200. Its totient is φ = 222515527680.

The previous prime is 1107489801571. The next prime is 1107489801611. The reversal of 1107489801600 is 61089847011.

It is a happy number.

1107489801600 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 489 + 8 + 0 + 160 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23563612777 + ... + 23563612823.

It is an arithmetic number, because the mean of its divisors is an integer number (1724238600).

Almost surely, 2^{1107489801600} is an apocalyptic number.

1107489801600 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 1107489801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648430489600).

1107489801600 is an abundant number, since it is smaller than the sum of its proper divisors (4189371177600).

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

1107489801600 is an equidigital number, since it uses as much as digits as its factorization.

1107489801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 1107489801600 in words is "one trillion, one hundred seven billion, four hundred eighty-nine million, eight hundred one thousand, six hundred".