1100555620164 has 1152 divisors, whose sum is σ = 4149686661120. Its totient is φ = 236423577600.

The previous prime is 1100555620141. The next prime is 1100555620201. The reversal of 1100555620164 is 4610265550011.

1100555620164 is a `hidden beast` number, since 1 + 10 + 0 + 5 + 5 + 5 + 620 + 16 + 4 = 666.

It is a super-2 number, since 2×1100555620164² (a number of 25 digits) contains 22 as substring.

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

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, 1080034447 + ... + 1080035465.

It is an arithmetic number, because the mean of its divisors is an integer number (3602158560).

Almost surely, 2^{1100555620164} is an apocalyptic number.

1100555620164 is a gapful number since it is divisible by the number (14) 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 1100555620164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074843330560).

1100555620164 is an abundant number, since it is smaller than the sum of its proper divisors (3049131040956).

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

1100555620164 is a wasteful number, since it uses less digits than its factorization.

1100555620164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 1100555620164 in words is "one trillion, one hundred billion, five hundred fifty-five million, six hundred twenty thousand, one hundred sixty-four".