11005142000652 has 96 divisors (see below), whose sum is σ = 30661092483840. Its totient is φ = 3401062283520.

The previous prime is 11005142000617. The next prime is 11005142000683. The reversal of 11005142000652 is 25600024150011.

11005142000652 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 5 + 1 + 4 + 2 + 0 + 0 + 0 + 652 = 666.

It is a super-2 number, since 2×11005142000652² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44608974 + ... + 44854997.

It is an arithmetic number, because the mean of its divisors is an integer number (319386380040).

Almost surely, 2^{11005142000652} is an apocalyptic number.

11005142000652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11005142000652 is an abundant number, since it is smaller than the sum of its proper divisors (19655950483188).

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

11005142000652 is a wasteful number, since it uses less digits than its factorization.

11005142000652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89464068 (or 89464060 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 11005142000652 its reverse (25600024150011), we get a palindrome (36605166150663).

The spelling of 11005142000652 in words is "eleven trillion, five billion, one hundred forty-two million, six hundred fifty-two", and thus it is an aban number.