11770905231360 has 2112 divisors, whose sum is σ = 50879244199680. Its totient is φ = 2480343613440.

The previous prime is 11770905231341. The next prime is 11770905231401. The reversal of 11770905231360 is 6313250907711.

11770905231360 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 0 + 90 + 523 + 1 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 405893283826 + ... + 405893283854.

Almost surely, 2^{11770905231360} is an apocalyptic number.

11770905231360 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 11770905231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25439622099840).

11770905231360 is an abundant number, since it is smaller than the sum of its proper divisors (39108338968320).

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

11770905231360 is an equidigital number, since it uses as much as digits as its factorization.

11770905231360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 11770905231360 in words is "eleven trillion, seven hundred seventy billion, nine hundred five million, two hundred thirty-one thousand, three hundred sixty".