11951595048960 has 3276 divisors, whose sum is σ = 54727416564804. Its totient is φ = 2488160747520.

The previous prime is 11951595048949. The next prime is 11951595049057. The reversal of 11951595048960 is 6984059515911.

11951595048960 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 1 + 5 + 95 + 0 + 489 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6889743028224 + 5061852020736 = 2624832^2 + 2249856^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 385535324145 + ... + 385535324175.

Almost surely, 2^{11951595048960} is an apocalyptic number.

11951595048960 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 11951595048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27363708282402).

11951595048960 is an abundant number, since it is smaller than the sum of its proper divisors (42775821515844).

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

11951595048960 is an frugal number, since it uses more digits than its factorization.

11951595048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 63.

The spelling of 11951595048960 in words is "eleven trillion, nine hundred fifty-one billion, five hundred ninety-five million, forty-eight thousand, nine hundred sixty".