56309256150336 has 1400 divisors, whose sum is σ = 206316628971200. Its totient is φ = 15241603168512.

The previous prime is 56309256150331. The next prime is 56309256150353. The reversal of 56309256150336 is 63305165290365.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

56309256150336 is a `hidden beast` number, since 5 + 6 + 3 + 0 + 9 + 256 + 1 + 50 + 336 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 56309256150336 = 4788³ + 38304³ = 21546³ + 35910³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56309256150331) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 2963645060535 + ... + 2963645060553.

Almost surely, 2^{56309256150336} is an apocalyptic number.

56309256150336 is a gapful number since it is divisible by the number (56) 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 56309256150336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103158314485600).

56309256150336 is an abundant number, since it is smaller than the sum of its proper divisors (150007372820864).

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

56309256150336 is an frugal number, since it uses more digits than its factorization.

56309256150336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 13122000, while the sum is 54.

The spelling of 56309256150336 in words is "fifty-six trillion, three hundred nine billion, two hundred fifty-six million, one hundred fifty thousand, three hundred thirty-six".