11053650795264 has 864 divisors, whose sum is σ = 40085031168000. Its totient is φ = 2845877207040.

The previous prime is 11053650795247. The next prime is 11053650795281. The reversal of 11053650795264 is 46259705635011.

11053650795264 is a `hidden beast` number, since 1 + 1 + 0 + 53 + 65 + 0 + 7 + 9 + 526 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11053650795247) and next prime (11053650795281).

It is a self number, because there is not a number n which added to its sum of digits gives 11053650795264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15373644697 + ... + 15373645415.

It is an arithmetic number, because the mean of its divisors is an integer number (46394712000).

Almost surely, 2^{11053650795264} is an apocalyptic number.

11053650795264 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 11053650795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20042515584000).

11053650795264 is an abundant number, since it is smaller than the sum of its proper divisors (29031380372736).

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

11053650795264 is a wasteful number, since it uses less digits than its factorization.

11053650795264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 11053650795264 in words is "eleven trillion, fifty-three billion, six hundred fifty million, seven hundred ninety-five thousand, two hundred sixty-four".