11947247020800 has 5184 divisors, whose sum is σ = 58587510159360. Its totient is φ = 2341011456000.

The previous prime is 11947247020741. The next prime is 11947247020843. The reversal of 11947247020800 is 802074274911.

11947247020800 is a `hidden beast` number, since 1 + 1 + 94 + 72 + 470 + 20 + 8 + 0 + 0 = 666.

11947247020800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×11947247020800² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 168271084765 + ... + 168271084835.

It is an arithmetic number, because the mean of its divisors is an integer number (11301603040).

Almost surely, 2^{11947247020800} is an apocalyptic number.

11947247020800 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 11947247020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29293755079680).

11947247020800 is an abundant number, since it is smaller than the sum of its proper divisors (46640263138560).

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

11947247020800 is a wasteful number, since it uses less digits than its factorization.

11947247020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 11947247020800 in words is "eleven trillion, nine hundred forty-seven billion, two hundred forty-seven million, twenty thousand, eight hundred".