56246786400 has 720 divisors, whose sum is σ = 219514325184. Its totient is φ = 12502103040.

The previous prime is 56246786377. The next prime is 56246786423. The reversal of 56246786400 is 468764265.

It is an interprime number because it is at equal distance from previous prime (56246786377) and next prime (56246786423).

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

It is a self number, because there is not a number n which added to its sum of digits gives 56246786400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 247783087 + ... + 247783313.

Almost surely, 2^56246786400 is an apocalyptic number.

56246786400 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 56246786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109757162592).

56246786400 is an abundant number, since it is smaller than the sum of its proper divisors (163267538784).

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

56246786400 is a wasteful number, since it uses less digits than its factorization.

56246786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 56246786400 in words is "fifty-six billion, two hundred forty-six million, seven hundred eighty-six thousand, four hundred".