11015813952 has 336 divisors, whose sum is σ = 39281965632. Its totient is φ = 2899722240.

The previous prime is 11015813933. The next prime is 11015813981. The reversal of 11015813952 is 25931851011.

11015813952 is a `hidden beast` number, since 110 + 158 + 1 + 395 + 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1396323 + ... + 1404189.

It is an arithmetic number, because the mean of its divisors is an integer number (116910612).

Almost surely, 2^11015813952 is an apocalyptic number.

11015813952 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 11015813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19640982816).

11015813952 is an abundant number, since it is smaller than the sum of its proper divisors (28266151680).

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

11015813952 is a wasteful number, since it uses less digits than its factorization.

11015813952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7926 (or 7913 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 11015813952 in words is "eleven billion, fifteen million, eight hundred thirteen thousand, nine hundred fifty-two".