56384171712000 has 1280 divisors, whose sum is σ = 229027215605760. Its totient is φ = 13560680448000.

The previous prime is 56384171711977. The next prime is 56384171712049. The reversal of 56384171712000 is 21717148365.

56384171712000 is a `hidden beast` number, since 5 + 63 + 8 + 417 + 171 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2414004322 + ... + 2414027678.

It is an arithmetic number, because the mean of its divisors is an integer number (178927512192).

Almost surely, 2^{56384171712000} is an apocalyptic number.

56384171712000 is a gapful number since it is divisible by the number (50) 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 56384171712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114513607802880).

56384171712000 is an abundant number, since it is smaller than the sum of its proper divisors (172643043893760).

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

56384171712000 is a wasteful number, since it uses less digits than its factorization.

56384171712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23537 (or 23505 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 56384171712000 in words is "fifty-six trillion, three hundred eighty-four billion, one hundred seventy-one million, seven hundred twelve thousand".