211117904052 has 48 divisors (see below), whose sum is σ = 550498140864. Its totient is φ = 62414752000.

The previous prime is 211117904051. The next prime is 211117904069. The reversal of 211117904052 is 250409711112.

211117904052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211117904052² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211117904051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19499199 + ... + 19510022.

It is an arithmetic number, because the mean of its divisors is an integer number (11468711268).

Almost surely, 2^211117904052 is an apocalyptic number.

211117904052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211117904052 is an abundant number, since it is smaller than the sum of its proper divisors (339380236812).

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

211117904052 is a wasteful number, since it uses less digits than its factorization.

211117904052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39009280 (or 39009278 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The spelling of 211117904052 in words is "two hundred eleven billion, one hundred seventeen million, nine hundred four thousand, fifty-two".