56361302400 has 384 divisors, whose sum is σ = 203716023840. Its totient is φ = 13610188800.

The previous prime is 56361302381. The next prime is 56361302419. The reversal of 56361302400 is 420316365.

It is an interprime number because it is at equal distance from previous prime (56361302381) and next prime (56361302419).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 6610140 + ... + 6618660.

Almost surely, 2^56361302400 is an apocalyptic number.

56361302400 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 56361302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101858011920).

56361302400 is an abundant number, since it is smaller than the sum of its proper divisors (147354721440).

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

56361302400 is a wasteful number, since it uses less digits than its factorization.

56361302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8614 (or 8597 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 56361302400 its reverse (420316365), we get a palindrome (56781618765).

The spelling of 56361302400 in words is "fifty-six billion, three hundred sixty-one million, three hundred two thousand, four hundred".