11947673041920 has 3960 divisors, whose sum is σ = 56511715064112. Its totient is φ = 2403438428160.

The previous prime is 11947673041903. The next prime is 11947673041937. The reversal of 11947673041920 is 2914037674911.

11947673041920 is a `hidden beast` number, since 1 + 1 + 94 + 7 + 67 + 304 + 192 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11947673041903) and next prime (11947673041937).

It is a tau number, because it is divible by the number of its divisors (3960).

It is a super-2 number, since 2×11947673041920² (a number of 27 digits) contains 22 as substring.

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 359 ways as a sum of consecutive naturals, for example, 105731619784 + ... + 105731619896.

Almost surely, 2^{11947673041920} is an apocalyptic number.

11947673041920 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 11947673041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28255857532056).

11947673041920 is an abundant number, since it is smaller than the sum of its proper divisors (44564042022192).

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

11947673041920 is a wasteful number, since it uses less digits than its factorization.

11947673041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 11947673041920 in words is "eleven trillion, nine hundred forty-seven billion, six hundred seventy-three million, forty-one thousand, nine hundred twenty".