11495216259072 has 2688 divisors, whose sum is σ = 46165396193280. Its totient is φ = 2774815211520.

The previous prime is 11495216259071. The next prime is 11495216259091. The reversal of 11495216259072 is 27095261259411.

11495216259072 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 5 + 2 + 1 + 625 + 9 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is not an unprimeable number, because it can be changed into a prime (11495216259071) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129159733204 + ... + 129159733292.

It is an arithmetic number, because the mean of its divisors is an integer number (17174626560).

Almost surely, 2^{11495216259072} is an apocalyptic number.

11495216259072 is a gapful number since it is divisible by the number (12) 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 11495216259072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23082698096640).

11495216259072 is an abundant number, since it is smaller than the sum of its proper divisors (34670179934208).

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

11495216259072 is an equidigital number, since it uses as much as digits as its factorization.

11495216259072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 11495216259072 in words is "eleven trillion, four hundred ninety-five billion, two hundred sixteen million, two hundred fifty-nine thousand, seventy-two".