11657628501120 has 1536 divisors, whose sum is σ = 49426694553600. Its totient is φ = 2570374840320.

The previous prime is 11657628500977. The next prime is 11657628501121. The reversal of 11657628501120 is 2110582675611.

11657628501120 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 7 + 628 + 5 + 0 + 1 + 12 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11657628501121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3632790076 + ... + 3632793284.

It is an arithmetic number, because the mean of its divisors is an integer number (32178837600).

Almost surely, 2^{11657628501120} is an apocalyptic number.

11657628501120 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 11657628501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24713347276800).

11657628501120 is an abundant number, since it is smaller than the sum of its proper divisors (37769066052480).

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

11657628501120 is an equidigital number, since it uses as much as digits as its factorization.

11657628501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 11657628501120 in words is "eleven trillion, six hundred fifty-seven billion, six hundred twenty-eight million, five hundred one thousand, one hundred twenty".