11029839300864 has 216 divisors, whose sum is σ = 32499788473152. Its totient is φ = 3596331847680.

The previous prime is 11029839300847. The next prime is 11029839300871. The reversal of 11029839300864 is 46800393892011.

11029839300864 is a `hidden beast` number, since 1 + 10 + 298 + 39 + 300 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×11029839300864² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11029839300864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40282629 + ... + 40555515.

It is an arithmetic number, because the mean of its divisors is an integer number (150461983672).

Almost surely, 2^{11029839300864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11029839300864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16249894236576).

11029839300864 is an abundant number, since it is smaller than the sum of its proper divisors (21469949172288).

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

11029839300864 is a wasteful number, since it uses less digits than its factorization.

11029839300864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273293 (or 273276 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 11029839300864 in words is "eleven trillion, twenty-nine billion, eight hundred thirty-nine million, three hundred thousand, eight hundred sixty-four".