11021013638352 has 120 divisors (see below), whose sum is σ = 31371457946400. Its totient is φ = 3610812075264.

The previous prime is 11021013638339. The next prime is 11021013638359. The reversal of 11021013638352 is 25383631012011.

11021013638352 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 1 + 0 + 13 + 638 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11021013638359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53157963 + ... + 53364885.

It is an arithmetic number, because the mean of its divisors is an integer number (261428816220).

Almost surely, 2^{11021013638352} is an apocalyptic number.

11021013638352 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 11021013638352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685728973200).

11021013638352 is an abundant number, since it is smaller than the sum of its proper divisors (20350444308048).

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

11021013638352 is a wasteful number, since it uses less digits than its factorization.

11021013638352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213265 (or 213256 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11021013638352 in words is "eleven trillion, twenty-one billion, thirteen million, six hundred thirty-eight thousand, three hundred fifty-two".