1101792706560 has 3072 divisors, whose sum is σ = 5422145702400. Its totient is φ = 209278992384.

The previous prime is 1101792706499. The next prime is 1101792706571. The reversal of 1101792706560 is 656072971011.

1101792706560 is a `hidden beast` number, since 1 + 1 + 0 + 17 + 9 + 2 + 70 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

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, 47904030709 + ... + 47904030731.

Almost surely, 2^{1101792706560} is an apocalyptic number.

1101792706560 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 1101792706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711072851200).

1101792706560 is an abundant number, since it is smaller than the sum of its proper divisors (4320352995840).

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

1101792706560 is a wasteful number, since it uses less digits than its factorization.

1101792706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 1101792706560 in words is "one trillion, one hundred one billion, seven hundred ninety-two million, seven hundred six thousand, five hundred sixty".