56153610150300 has 360 divisors, whose sum is σ = 197764780275216. Its totient is φ = 13700101847040.

The previous prime is 56153610150293. The next prime is 56153610150307. The reversal of 56153610150300 is 305101635165.

56153610150300 is a `hidden beast` number, since 5 + 6 + 1 + 5 + 3 + 610 + 1 + 5 + 0 + 30 + 0 = 666.

56153610150300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56153610150293) and next prime (56153610150307).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56153610150307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9539287 + ... + 14258513.

Almost surely, 2^{56153610150300} is an apocalyptic number.

56153610150300 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 56153610150300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98882390137608).

56153610150300 is an abundant number, since it is smaller than the sum of its proper divisors (141611170124916).

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

56153610150300 is a wasteful number, since it uses less digits than its factorization.

56153610150300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719379 (or 4719363 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

Adding to 56153610150300 its reverse (305101635165), we get a palindrome (56458711785465).

The spelling of 56153610150300 in words is "fifty-six trillion, one hundred fifty-three billion, six hundred ten million, one hundred fifty thousand, three hundred".