11951954560 has 384 divisors, whose sum is σ = 37702627200. Its totient is φ = 3581190144.

The previous prime is 11951954557. The next prime is 11951954593. The reversal of 11951954560 is 6545915911.

It is a self number, because there is not a number n which added to its sum of digits gives 11951954560.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7745149 + ... + 7746691.

It is an arithmetic number, because the mean of its divisors is an integer number (98183925).

Almost surely, 2^11951954560 is an apocalyptic number.

11951954560 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 11951954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18851313600).

11951954560 is an abundant number, since it is smaller than the sum of its proper divisors (25750672640).

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

11951954560 is a wasteful number, since it uses less digits than its factorization.

11951954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 46.

The spelling of 11951954560 in words is "eleven billion, nine hundred fifty-one million, nine hundred fifty-four thousand, five hundred sixty".