11952216953460 has 192 divisors, whose sum is σ = 42635201495040. Its totient is φ = 2723036227200.

The previous prime is 11952216953441. The next prime is 11952216953503. The reversal of 11952216953460 is 6435961225911.

It is a happy number.

11952216953460 is a `hidden beast` number, since 1 + 1 + 9 + 52 + 21 + 69 + 53 + 460 = 666.

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 = 11952216953397 and 11952216953406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3989316 + ... + 6310235.

It is an arithmetic number, because the mean of its divisors is an integer number (222058341120).

Almost surely, 2^{11952216953460} is an apocalyptic number.

11952216953460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11952216953460 is an abundant number, since it is smaller than the sum of its proper divisors (30682984541580).

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

11952216953460 is a wasteful number, since it uses less digits than its factorization.

11952216953460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10299883 (or 10299875 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 11952216953460 in words is "eleven trillion, nine hundred fifty-two billion, two hundred sixteen million, nine hundred fifty-three thousand, four hundred sixty".