11377366647560 has 128 divisors (see below), whose sum is σ = 26931736656000. Its totient is φ = 4321120610304.

The previous prime is 11377366647547. The next prime is 11377366647593. The reversal of 11377366647560 is 6574666377311.

It is a junction number, because it is equal to n+sod(n) for n = 11377366647493 and 11377366647502.

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 31 ways as a sum of consecutive naturals, for example, 11487311 + ... + 12438369.

It is an arithmetic number, because the mean of its divisors is an integer number (210404192625).

Almost surely, 2^{11377366647560} is an apocalyptic number.

11377366647560 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 11377366647560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465868328000).

11377366647560 is an abundant number, since it is smaller than the sum of its proper divisors (15554370008440).

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

11377366647560 is a wasteful number, since it uses less digits than its factorization.

11377366647560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951303 (or 951299 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 62.

The spelling of 11377366647560 in words is "eleven trillion, three hundred seventy-seven billion, three hundred sixty-six million, six hundred forty-seven thousand, five hundred sixty".