1107781557120 has 1536 divisors, whose sum is σ = 4874163840000. Its totient is φ = 239661047808.

The previous prime is 1107781557049. The next prime is 1107781557137. The reversal of 1107781557120 is 217551877011.

1107781557120 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 7 + 81 + 557 + 12 + 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 191 ways as a sum of consecutive naturals, for example, 1013523294 + ... + 1013524386.

It is an arithmetic number, because the mean of its divisors is an integer number (3173283750).

Almost surely, 2^{1107781557120} is an apocalyptic number.

1107781557120 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 1107781557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437081920000).

1107781557120 is an abundant number, since it is smaller than the sum of its proper divisors (3766382282880).

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

1107781557120 is an equidigital number, since it uses as much as digits as its factorization.

1107781557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 137200, while the sum is 45.

The spelling of 1107781557120 in words is "one trillion, one hundred seven billion, seven hundred eighty-one million, five hundred fifty-seven thousand, one hundred twenty".