11752490631168 has 1536 divisors, whose sum is σ = 43419443558400. Its totient is φ = 3100454682624.

The previous prime is 11752490631137. The next prime is 11752490631221. The reversal of 11752490631168 is 86113609425711.

11752490631168 is a `hidden beast` number, since 1 + 17 + 52 + 490 + 6 + 31 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74856628146 + ... + 74856628302.

It is an arithmetic number, because the mean of its divisors is an integer number (28267866900).

It is a 1-persistent number, because it is pandigital, but 2⋅11752490631168 = 23504981262336 is not.

Almost surely, 2^{11752490631168} is an apocalyptic number.

11752490631168 is a gapful number since it is divisible by the number (18) 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 11752490631168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21709721779200).

11752490631168 is an abundant number, since it is smaller than the sum of its proper divisors (31666952927232).

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

11752490631168 is an frugal number, since it uses more digits than its factorization.

11752490631168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 11752490631168 in words is "eleven trillion, seven hundred fifty-two billion, four hundred ninety million, six hundred thirty-one thousand, one hundred sixty-eight".