10996399237824 has 2520 divisors, whose sum is σ = 45831539426400. Its totient is φ = 2493533306880.

The previous prime is 10996399237823. The next prime is 10996399237843. The reversal of 10996399237824 is 42873299369901.

10996399237824 is a `hidden beast` number, since 1 + 0 + 99 + 63 + 9 + 92 + 378 + 24 = 666.

It is a super-2 number, since 2×10996399237824² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (10996399237823) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 123555047572 + ... + 123555047660.

It is an arithmetic number, because the mean of its divisors is an integer number (18187118820).

Almost surely, 2^{10996399237824} is an apocalyptic number.

10996399237824 is a gapful number since it is divisible by the number (14) 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 10996399237824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22915769713200).

10996399237824 is an abundant number, since it is smaller than the sum of its proper divisors (34835140188576).

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

10996399237824 is a wasteful number, since it uses less digits than its factorization.

10996399237824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 10996399237824 in words is "ten trillion, nine hundred ninety-six billion, three hundred ninety-nine million, two hundred thirty-seven thousand, eight hundred twenty-four".