11211534000 has 960 divisors, whose sum is σ = 45627079680. Its totient is φ = 2645913600.

The previous prime is 11211533989. The next prime is 11211534001. The reversal of 11211534000 is 43511211.

11211534000 is a `hidden beast` number, since 1 + 1 + 211 + 53 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11211534001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 190025971 + ... + 190026029.

It is an arithmetic number, because the mean of its divisors is an integer number (47528208).

Almost surely, 2^11211534000 is an apocalyptic number.

11211534000 is a gapful number since it is divisible by the number (10) 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 11211534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22813539840).

11211534000 is an abundant number, since it is smaller than the sum of its proper divisors (34415545680).

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

11211534000 is a wasteful number, since it uses less digits than its factorization.

11211534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

It can be divided in two parts, 1121 and 1534000, that added together give a square (1535121 = 1239²).

The spelling of 11211534000 in words is "eleven billion, two hundred eleven million, five hundred thirty-four thousand".