56613824460500 has 96 divisors (see below), whose sum is σ = 124287533854848. Its totient is φ = 22527993600000.

The previous prime is 56613824460449. The next prime is 56613824460503. The reversal of 56613824460500 is 506442831665.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56613824460503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103515764 + ... + 104061236.

It is an arithmetic number, because the mean of its divisors is an integer number (1294661810988).

Almost surely, 2^{56613824460500} is an apocalyptic number.

56613824460500 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 56613824460500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62143766927424).

56613824460500 is an abundant number, since it is smaller than the sum of its proper divisors (67673709394348).

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

56613824460500 is a wasteful number, since it uses less digits than its factorization.

56613824460500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546570 (or 546558 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 50.

The spelling of 56613824460500 in words is "fifty-six trillion, six hundred thirteen billion, eight hundred twenty-four million, four hundred sixty thousand, five hundred".