11247891399360 has 2016 divisors, whose sum is σ = 49721742120960. Its totient is φ = 2283976949760.

The previous prime is 11247891399337. The next prime is 11247891399391. The reversal of 11247891399360 is 6399319874211.

11247891399360 is a `hidden beast` number, since 1 + 1 + 2 + 478 + 9 + 13 + 9 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22361612869 + ... + 22361613371.

It is an arithmetic number, because the mean of its divisors is an integer number (24663562560).

Almost surely, 2^{11247891399360} is an apocalyptic number.

11247891399360 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 11247891399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24860871060480).

11247891399360 is an abundant number, since it is smaller than the sum of its proper divisors (38473850721600).

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

11247891399360 is a wasteful number, since it uses less digits than its factorization.

11247891399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 11247891399360 in words is "eleven trillion, two hundred forty-seven billion, eight hundred ninety-one million, three hundred ninety-nine thousand, three hundred sixty".