11626061435352 has 256 divisors, whose sum is σ = 40193822592000. Its totient is φ = 3031761705984.

The previous prime is 11626061435321. The next prime is 11626061435371. The reversal of 11626061435352 is 25353416062611.

It is a happy number.

11626061435352 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 606 + 1 + 4 + 3 + 5 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11626061435298 and 11626061435307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1573518 + ... + 5072285.

It is an arithmetic number, because the mean of its divisors is an integer number (157007119500).

Almost surely, 2^{11626061435352} is an apocalyptic number.

11626061435352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11626061435352 is an abundant number, since it is smaller than the sum of its proper divisors (28567761156648).

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

11626061435352 is a wasteful number, since it uses less digits than its factorization.

11626061435352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6645927 (or 6645917 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

Adding to 11626061435352 its reverse (25353416062611), we get a palindrome (36979477497963).

The spelling of 11626061435352 in words is "eleven trillion, six hundred twenty-six billion, sixty-one million, four hundred thirty-five thousand, three hundred fifty-two".