11015821152 has 480 divisors, whose sum is σ = 38793142080. Its totient is φ = 3000913920.

The previous prime is 11015821151. The next prime is 11015821153. The reversal of 11015821152 is 25112851011.

It is an interprime number because it is at equal distance from previous prime (11015821151) and next prime (11015821153).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11015821151) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40950874 + ... + 40951142.

It is an arithmetic number, because the mean of its divisors is an integer number (80819046).

Almost surely, 2^11015821152 is an apocalyptic number.

11015821152 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 11015821152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19396571040).

11015821152 is an abundant number, since it is smaller than the sum of its proper divisors (27777320928).

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

11015821152 is a wasteful number, since it uses less digits than its factorization.

11015821152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 27.

The spelling of 11015821152 in words is "eleven billion, fifteen million, eight hundred twenty-one thousand, one hundred fifty-two".