56410676428800 has 1536 divisors, whose sum is σ = 202195301172480. Its totient is φ = 13841203200000.

The previous prime is 56410676428693. The next prime is 56410676428801. The reversal of 56410676428800 is 882467601465.

It is a tau number, because it is divible by the number of its divisors (1536).

It is not an unprimeable number, because it can be changed into a prime (56410676428801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234069196680 + ... + 234069196920.

Almost surely, 2^{56410676428800} is an apocalyptic number.

56410676428800 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 56410676428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101097650586240).

56410676428800 is an abundant number, since it is smaller than the sum of its proper divisors (145784624743680).

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

56410676428800 is a wasteful number, since it uses less digits than its factorization.

56410676428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 56410676428800 in words is "fifty-six trillion, four hundred ten billion, six hundred seventy-six million, four hundred twenty-eight thousand, eight hundred".