11247209976960 has 3072 divisors, whose sum is σ = 47424990412800. Its totient is φ = 2528292372480.

The previous prime is 11247209976883. The next prime is 11247209976967. The reversal of 11247209976960 is 6967990274211.

11247209976960 is a `hidden beast` number, since 1 + 1 + 2 + 472 + 0 + 9 + 9 + 76 + 96 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (11247209976967) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 88560708417 + ... + 88560708543.

It is an arithmetic number, because the mean of its divisors is an integer number (15437822400).

Almost surely, 2^{11247209976960} is an apocalyptic number.

11247209976960 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 11247209976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23712495206400).

11247209976960 is an abundant number, since it is smaller than the sum of its proper divisors (36177780435840).

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

11247209976960 is a wasteful number, since it uses less digits than its factorization.

11247209976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 11247209976960 in words is "eleven trillion, two hundred forty-seven billion, two hundred nine million, nine hundred seventy-six thousand, nine hundred sixty".