1100017920960 has 1344 divisors, whose sum is σ = 4645687667712. Its totient is φ = 242509676544.

The previous prime is 1100017920917. The next prime is 1100017920979. The reversal of 1100017920960 is 690297100011.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3886988979 + ... + 3886989261.

It is an arithmetic number, because the mean of its divisors is an integer number (3456612848).

Almost surely, 2^{1100017920960} is an apocalyptic number.

1100017920960 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 1100017920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322843833856).

1100017920960 is an abundant number, since it is smaller than the sum of its proper divisors (3545669746752).

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

1100017920960 is a wasteful number, since it uses less digits than its factorization.

1100017920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 1100017920960 in words is "one trillion, one hundred billion, seventeen million, nine hundred twenty thousand, nine hundred sixty".