11035989364792 has 256 divisors, whose sum is σ = 24999120921600. Its totient is φ = 4469659729920.

The previous prime is 11035989364769. The next prime is 11035989364853. The reversal of 11035989364792 is 29746398953011.

It is a super-2 number, since 2×11035989364792² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4256068648 + ... + 4256071240.

It is an arithmetic number, because the mean of its divisors is an integer number (97652816100).

It is a 1-persistent number, because it is pandigital, but 2⋅11035989364792 = 22071978729584 is not.

Almost surely, 2^{11035989364792} 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 11035989364792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499560460800).

11035989364792 is an abundant number, since it is smaller than the sum of its proper divisors (13963131556808).

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

11035989364792 is a wasteful number, since it uses less digits than its factorization.

11035989364792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 67.

The spelling of 11035989364792 in words is "eleven trillion, thirty-five billion, nine hundred eighty-nine million, three hundred sixty-four thousand, seven hundred ninety-two".