11029977346392 has 160 divisors (see below), whose sum is σ = 31104608150880. Its totient is φ = 3651622041600.

The previous prime is 11029977346369. The next prime is 11029977346457. The reversal of 11029977346392 is 29364377992011.

11029977346392 is a `hidden beast` number, since 1 + 10 + 2 + 9 + 9 + 7 + 73 + 463 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1005187018 + ... + 1005197990.

It is an arithmetic number, because the mean of its divisors is an integer number (194403800943).

Almost surely, 2^{11029977346392} is an apocalyptic number.

11029977346392 is a gapful number since it is divisible by the number (12) 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 11029977346392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552304075440).

11029977346392 is an abundant number, since it is smaller than the sum of its proper divisors (20074630804488).

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

11029977346392 is a wasteful number, since it uses less digits than its factorization.

11029977346392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21415 (or 21402 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 11029977346392 in words is "eleven trillion, twenty-nine billion, nine hundred seventy-seven million, three hundred forty-six thousand, three hundred ninety-two".