11578620816 has 375 divisors, whose sum is σ = 39746282433. Its totient is φ = 3253944960.

The previous prime is 11578620787. The next prime is 11578620817. The reversal of 11578620816 is 61802687511.

The square root of 11578620816 is 107604.

It is a perfect power (a square), and thus also a powerful number.

11578620816 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 8 + 620 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 376515216 + 11202105600 = 19404^2 + 105840^2 .

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (11578620817) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 189813426 + ... + 189813486.

Almost surely, 2^11578620816 is an apocalyptic number.

11578620816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11578620816 is the 107604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11578620816

11578620816 is an abundant number, since it is smaller than the sum of its proper divisors (28167661617).

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

11578620816 is an frugal number, since it uses more digits than its factorization.

11578620816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 11578620816 in words is "eleven billion, five hundred seventy-eight million, six hundred twenty thousand, eight hundred sixteen".