56146120800 has 432 divisors, whose sum is σ = 231925280832. Its totient is φ = 11666457600.

The previous prime is 56146120769. The next prime is 56146120831. The reversal of 56146120800 is 802164165.

It is an interprime number because it is at equal distance from previous prime (56146120769) and next prime (56146120831).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1271899 + ... + 1315301.

It is an arithmetic number, because the mean of its divisors is an integer number (536864076).

Almost surely, 2^56146120800 is an apocalyptic number.

56146120800 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 56146120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115962640416).

56146120800 is an abundant number, since it is smaller than the sum of its proper divisors (175779160032).

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

56146120800 is a wasteful number, since it uses less digits than its factorization.

56146120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43451 (or 43431 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 56146120800 its reverse (802164165), we get a palindrome (56948284965).

The spelling of 56146120800 in words is "fifty-six billion, one hundred forty-six million, one hundred twenty thousand, eight hundred".