11975656300608 has 3584 divisors, whose sum is σ = 50337939456000. Its totient is φ = 2458062028800.

The previous prime is 11975656300507. The next prime is 11975656300609. The reversal of 11975656300608 is 80600365657911.

It is a super-2 number, since 2×11975656300608² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (11975656300609) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 94296506241 + ... + 94296506367.

It is an arithmetic number, because the mean of its divisors is an integer number (14045184000).

Almost surely, 2^{11975656300608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11975656300608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25168969728000).

11975656300608 is an abundant number, since it is smaller than the sum of its proper divisors (38362283155392).

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

11975656300608 is a wasteful number, since it uses less digits than its factorization.

11975656300608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 11975656300608 in words is "eleven trillion, nine hundred seventy-five billion, six hundred fifty-six million, three hundred thousand, six hundred eight".