1105976954880 has 2080 divisors, whose sum is σ = 4891299291648. Its totient is φ = 233570304000.

The previous prime is 1105976954867. The next prime is 1105976954911. The reversal of 1105976954880 is 884596795011.

1105976954880 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 9 + 7 + 6 + 9 + 548 + 80 = 666.

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 159 ways as a sum of consecutive naturals, for example, 10950266830 + ... + 10950266930.

Almost surely, 2^{1105976954880} is an apocalyptic number.

1105976954880 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 1105976954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445649645824).

1105976954880 is an abundant number, since it is smaller than the sum of its proper divisors (3785322336768).

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

1105976954880 is a wasteful number, since it uses less digits than its factorization.

1105976954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 1105976954880 in words is "one trillion, one hundred five billion, nine hundred seventy-six million, nine hundred fifty-four thousand, eight hundred eighty".