11747138135040 has 4752 divisors, whose sum is σ = 57325867522560. Its totient is φ = 2207239372800.

The previous prime is 11747138135027. The next prime is 11747138135069. The reversal of 11747138135040 is 4053183174711.

11747138135040 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 7 + 138 + 1 + 3 + 504 + 0 = 666.

It is a super-2 number, since 2×11747138135040² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 160919700444 + ... + 160919700516.

Almost surely, 2^{11747138135040} is an apocalyptic number.

11747138135040 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 11747138135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28662933761280).

11747138135040 is an abundant number, since it is smaller than the sum of its proper divisors (45578729387520).

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

11747138135040 is a wasteful number, since it uses less digits than its factorization.

11747138135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 11747138135040 in words is "eleven trillion, seven hundred forty-seven billion, one hundred thirty-eight million, one hundred thirty-five thousand, forty".