11872420560000 has 7680 divisors, whose sum is σ = 65738356992000. Its totient is φ = 2030469120000.

The previous prime is 11872420559999. The next prime is 11872420560001. The reversal of 11872420560000 is 6502427811.

11872420560000 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 2 + 42 + 0 + 5 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11872420559999) and next prime (11872420560001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11872420560001) 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 959 ways as a sum of consecutive naturals, for example, 624864239991 + ... + 624864240009.

It is an arithmetic number, because the mean of its divisors is an integer number (8559681900).

Almost surely, 2^{11872420560000} is an apocalyptic number.

11872420560000 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 11872420560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32869178496000).

11872420560000 is an abundant number, since it is smaller than the sum of its proper divisors (53865936432000).

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

11872420560000 is a wasteful number, since it uses less digits than its factorization.

11872420560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 11872420560000 its reverse (6502427811), we get a palindrome (11878922987811).

The spelling of 11872420560000 in words is "eleven trillion, eight hundred seventy-two billion, four hundred twenty million, five hundred sixty thousand".