11996674560 has 640 divisors, whose sum is σ = 46747008000. Its totient is φ = 2915647488.

The previous prime is 11996674541. The next prime is 11996674567. The reversal of 11996674560 is 6547669911.

It is a happy number.

11996674560 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 6 + 6 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 11996674497 and 11996674506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11996674567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151856601 + ... + 151856679.

It is an arithmetic number, because the mean of its divisors is an integer number (73042200).

Almost surely, 2^11996674560 is an apocalyptic number.

11996674560 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 11996674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23373504000).

11996674560 is an abundant number, since it is smaller than the sum of its proper divisors (34750333440).

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

11996674560 is an frugal number, since it uses more digits than its factorization.

11996674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 11996674560 in words is "eleven billion, nine hundred ninety-six million, six hundred seventy-four thousand, five hundred sixty".