10947379322880 has 5376 divisors, whose sum is σ = 56227085107200. Its totient is φ = 1961990553600.

The previous prime is 10947379322807. The next prime is 10947379322903. The reversal of 10947379322880 is 8822397374901.

10947379322880 is a `hidden beast` number, since 10 + 9 + 473 + 79 + 3 + 2 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×10947379322880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 353141268465 + ... + 353141268495.

It is an arithmetic number, because the mean of its divisors is an integer number (10458907200).

Almost surely, 2^{10947379322880} is an apocalyptic number.

10947379322880 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 10947379322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28113542553600).

10947379322880 is an abundant number, since it is smaller than the sum of its proper divisors (45279705784320).

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

10947379322880 is a wasteful number, since it uses less digits than its factorization.

10947379322880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 10947379322880 in words is "ten trillion, nine hundred forty-seven billion, three hundred seventy-nine million, three hundred twenty-two thousand, eight hundred eighty".