56642250235200 has 336 divisors, whose sum is σ = 212393736597504. Its totient is φ = 12946052044800.

The previous prime is 56642250235163. The next prime is 56642250235231. The reversal of 56642250235200 is 253205224665.

It is a happy number.

56642250235200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756332157 + ... + 756407043.

It is an arithmetic number, because the mean of its divisors is an integer number (632124216064).

Almost surely, 2^{56642250235200} is an apocalyptic number.

56642250235200 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 56642250235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106196868298752).

56642250235200 is an abundant number, since it is smaller than the sum of its proper divisors (155751486362304).

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

56642250235200 is a wasteful number, since it uses less digits than its factorization.

56642250235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97430 (or 97415 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 56642250235200 its reverse (253205224665), we get a palindrome (56895455459865).

The spelling of 56642250235200 in words is "fifty-six trillion, six hundred forty-two billion, two hundred fifty million, two hundred thirty-five thousand, two hundred".