1107089786880 has 4608 divisors, whose sum is σ = 5808112128000. Its totient is φ = 196199055360.

The previous prime is 1107089786879. The next prime is 1107089786911. The reversal of 1107089786880 is 886879807011.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 48134338549 + ... + 48134338571.

It is an arithmetic number, because the mean of its divisors is an integer number (1260441000).

Almost surely, 2^{1107089786880} is an apocalyptic number.

1107089786880 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 1107089786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904056064000).

1107089786880 is an abundant number, since it is smaller than the sum of its proper divisors (4701022341120).

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

1107089786880 is a wasteful number, since it uses less digits than its factorization.

1107089786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 63.

The spelling of 1107089786880 in words is "one trillion, one hundred seven billion, eighty-nine million, seven hundred eighty-six thousand, eight hundred eighty".