11707838462880 has 2304 divisors, whose sum is σ = 50001663688704. Its totient is φ = 2438553600000.

The previous prime is 11707838462867. The next prime is 11707838462939. The reversal of 11707838462880 is 8826483870711.

11707838462880 is a `hidden beast` number, since 1 + 1 + 70 + 78 + 38 + 462 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×11707838462880² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 55487385975 + ... + 55487386185.

It is an arithmetic number, because the mean of its divisors is an integer number (21702110976).

Almost surely, 2^{11707838462880} is an apocalyptic number.

11707838462880 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 11707838462880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25000831844352).

11707838462880 is an abundant number, since it is smaller than the sum of its proper divisors (38293825225824).

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

11707838462880 is a wasteful number, since it uses less digits than its factorization.

11707838462880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 11707838462880 in words is "eleven trillion, seven hundred seven billion, eight hundred thirty-eight million, four hundred sixty-two thousand, eight hundred eighty".