10848727612800 has 4608 divisors, whose sum is σ = 52904013926400. Its totient is φ = 2130200985600.

The previous prime is 10848727612759. The next prime is 10848727612817. The reversal of 10848727612800 is 821672784801.

10848727612800 is a `hidden beast` number, since 1 + 0 + 8 + 487 + 2 + 76 + 12 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 130707561559 + ... + 130707561641.

It is an arithmetic number, because the mean of its divisors is an integer number (11480905800).

Almost surely, 2^{10848727612800} is an apocalyptic number.

10848727612800 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 10848727612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26452006963200).

10848727612800 is an abundant number, since it is smaller than the sum of its proper divisors (42055286313600).

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

10848727612800 is a wasteful number, since it uses less digits than its factorization.

10848727612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 10848727612800 in words is "ten trillion, eight hundred forty-eight billion, seven hundred twenty-seven million, six hundred twelve thousand, eight hundred".