11835226872 has 320 divisors, whose sum is σ = 41416151040. Its totient is φ = 3079296000.

The previous prime is 11835226861. The next prime is 11835226951. The reversal of 11835226872 is 27862253811.

11835226872 is a `hidden beast` number, since 118 + 3 + 522 + 6 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×11835226872² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2387997 + ... + 2392947.

It is an arithmetic number, because the mean of its divisors is an integer number (129425472).

Almost surely, 2^11835226872 is an apocalyptic number.

11835226872 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 11835226872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20708075520).

11835226872 is an abundant number, since it is smaller than the sum of its proper divisors (29580924168).

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

11835226872 is a wasteful number, since it uses less digits than its factorization.

11835226872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5024 (or 5011 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 11835226872 in words is "eleven billion, eight hundred thirty-five million, two hundred twenty-six thousand, eight hundred seventy-two".