11205862711680 has 512 divisors, whose sum is σ = 43972593638400. Its totient is φ = 2363715256320.

The previous prime is 11205862711643. The next prime is 11205862711709. The reversal of 11205862711680 is 8611726850211.

It is a super-2 number, since 2×11205862711680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1184422150 + ... + 1184431610.

It is an arithmetic number, because the mean of its divisors is an integer number (85883971950).

Almost surely, 2^{11205862711680} is an apocalyptic number.

11205862711680 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 11205862711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21986296819200).

11205862711680 is an abundant number, since it is smaller than the sum of its proper divisors (32766730926720).

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

11205862711680 is a wasteful number, since it uses less digits than its factorization.

11205862711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16282 (or 16270 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 11205862711680 in words is "eleven trillion, two hundred five billion, eight hundred sixty-two million, seven hundred eleven thousand, six hundred eighty".