1106352862560 has 576 divisors, whose sum is σ = 4266733423680. Its totient is φ = 258711552000.

The previous prime is 1106352862523. The next prime is 1106352862597. The reversal of 1106352862560 is 652682536011.

1106352862560 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 3 + 5 + 2 + 86 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1106352862523) and next prime (1106352862597).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57790590 + ... + 57809730.

It is an arithmetic number, because the mean of its divisors is an integer number (7407523305).

Almost surely, 2^{1106352862560} is an apocalyptic number.

1106352862560 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 1106352862560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133366711840).

1106352862560 is an abundant number, since it is smaller than the sum of its proper divisors (3160380561120).

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

1106352862560 is a wasteful number, since it uses less digits than its factorization.

1106352862560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19303 (or 19292 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1106352862560 in words is "one trillion, one hundred six billion, three hundred fifty-two million, eight hundred sixty-two thousand, five hundred sixty".