20211182012736 has 1792 divisors, whose sum is σ = 75949332480000. Its totient is φ = 5179859435520.

The previous prime is 20211182012677. The next prime is 20211182012803. The reversal of 20211182012736 is 63721028111202.

20211182012736 is a `hidden beast` number, since 202 + 1 + 1 + 182 + 0 + 1 + 273 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20211182012736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24557936421 + ... + 24557937243.

It is an arithmetic number, because the mean of its divisors is an integer number (42382440000).

Almost surely, 2^{20211182012736} is an apocalyptic number.

20211182012736 is a gapful number since it is divisible by the number (26) 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 20211182012736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37974666240000).

20211182012736 is an abundant number, since it is smaller than the sum of its proper divisors (55738150467264).

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

20211182012736 is a wasteful number, since it uses less digits than its factorization.

20211182012736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 20211182012736 in words is "twenty trillion, two hundred eleven billion, one hundred eighty-two million, twelve thousand, seven hundred thirty-six".