11709578553120 has 288 divisors, whose sum is σ = 47674713542400. Its totient is φ = 2676475049472.

The previous prime is 11709578553091. The next prime is 11709578553143. The reversal of 11709578553120 is 2135587590711.

11709578553120 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 9 + 5 + 7 + 85 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11709578553120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27447000 + ... + 27870359.

It is an arithmetic number, because the mean of its divisors is an integer number (165537199800).

Almost surely, 2^{11709578553120} is an apocalyptic number.

11709578553120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11709578553120 is an abundant number, since it is smaller than the sum of its proper divisors (35965134989280).

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

11709578553120 is a wasteful number, since it uses less digits than its factorization.

11709578553120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55317397 (or 55317376 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 54.

The spelling of 11709578553120 in words is "eleven trillion, seven hundred nine billion, five hundred seventy-eight million, five hundred fifty-three thousand, one hundred twenty".