11862854256000 has 512 divisors, whose sum is σ = 44765675136000. Its totient is φ = 2750803968000.

The previous prime is 11862854255983. The next prime is 11862854256031. The reversal of 11862854256000 is 65245826811.

It is a super-2 number, since 2×11862854256000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11655576 + ... + 12632424.

It is an arithmetic number, because the mean of its divisors is an integer number (87432959250).

Almost surely, 2^{11862854256000} is an apocalyptic number.

11862854256000 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 11862854256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22382837568000).

11862854256000 is an abundant number, since it is smaller than the sum of its proper divisors (32902820880000).

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

11862854256000 is a wasteful number, since it uses less digits than its factorization.

11862854256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976915 (or 976893 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 11862854256000 in words is "eleven trillion, eight hundred sixty-two billion, eight hundred fifty-four million, two hundred fifty-six thousand".