1100516410272 has 192 divisors, whose sum is σ = 2966477592960. Its totient is φ = 357137547264.

The previous prime is 1100516410243. The next prime is 1100516410303. The reversal of 1100516410272 is 2720146150011.

It is a super-2 number, since 2×1100516410272² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219705304 + ... + 219710312.

It is an arithmetic number, because the mean of its divisors is an integer number (15450404130).

Almost surely, 2^{1100516410272} is an apocalyptic number.

1100516410272 is a gapful number since it is divisible by the number (12) 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 1100516410272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483238796480).

1100516410272 is an abundant number, since it is smaller than the sum of its proper divisors (1865961182688).

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

1100516410272 is a wasteful number, since it uses less digits than its factorization.

1100516410272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5495 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 1100516410272 in words is "one trillion, one hundred billion, five hundred sixteen million, four hundred ten thousand, two hundred seventy-two".