1101959467920 has 240 divisors, whose sum is σ = 3722264712192. Its totient is φ = 292150333440.

The previous prime is 1101959467909. The next prime is 1101959467963. The reversal of 1101959467920 is 297649591011.

It is a happy number.

1101959467920 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 95 + 9 + 467 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165133704 + ... + 165140376.

Almost surely, 2^{1101959467920} is an apocalyptic number.

1101959467920 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 1101959467920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861132356096).

1101959467920 is an abundant number, since it is smaller than the sum of its proper divisors (2620305244272).

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

1101959467920 is a wasteful number, since it uses less digits than its factorization.

1101959467920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7990 (or 7981 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 1101959467920 in words is "one trillion, one hundred one billion, nine hundred fifty-nine million, four hundred sixty-seven thousand, nine hundred twenty".