11740890945600 has 336 divisors, whose sum is σ = 44180542819840. Its totient is φ = 3029906995200.

The previous prime is 11740890945529. The next prime is 11740890945607. The reversal of 11740890945600 is 654909804711.

11740890945600 is a `hidden beast` number, since 1 + 1 + 7 + 408 + 90 + 94 + 5 + 60 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (11740890945607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3044347 + ... + 5722746.

Almost surely, 2^{11740890945600} is an apocalyptic number.

11740890945600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11740890945600 is an abundant number, since it is smaller than the sum of its proper divisors (32439651874240).

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

11740890945600 is a wasteful number, since it uses less digits than its factorization.

11740890945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8767155 (or 8767134 counting only the distinct ones).

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

The spelling of 11740890945600 in words is "eleven trillion, seven hundred forty billion, eight hundred ninety million, nine hundred forty-five thousand, six hundred".