11707880258400 has 288 divisors, whose sum is σ = 38336574302208. Its totient is φ = 3103493683200.

The previous prime is 11707880258383. The next prime is 11707880258407. The reversal of 11707880258400 is 485208870711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11707880258407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 684382647 + ... + 684399753.

It is an arithmetic number, because the mean of its divisors is an integer number (133113105216).

Almost surely, 2^{11707880258400} is an apocalyptic number.

11707880258400 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 11707880258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19168287151104).

11707880258400 is an abundant number, since it is smaller than the sum of its proper divisors (26628694043808).

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

11707880258400 is a wasteful number, since it uses less digits than its factorization.

11707880258400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18814 (or 18801 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 51.

The spelling of 11707880258400 in words is "eleven trillion, seven hundred seven billion, eight hundred eighty million, two hundred fifty-eight thousand, four hundred".