56340109548324 has 288 divisors, whose sum is σ = 177733451284480. Its totient is φ = 15244686943488.

The previous prime is 56340109548277. The next prime is 56340109548347. The reversal of 56340109548324 is 42384590104365.

It is a happy number.

56340109548324 is a `hidden beast` number, since 5 + 6 + 3 + 40 + 10 + 95 + 483 + 24 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 381678237 + ... + 381825819.

Almost surely, 2^{56340109548324} is an apocalyptic number.

56340109548324 is a gapful number since it is divisible by the number (54) 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 56340109548324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88866725642240).

56340109548324 is an abundant number, since it is smaller than the sum of its proper divisors (121393341736156).

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

56340109548324 is a wasteful number, since it uses less digits than its factorization.

56340109548324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150581 (or 150567 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 56340109548324 in words is "fifty-six trillion, three hundred forty billion, one hundred nine million, five hundred forty-eight thousand, three hundred twenty-four".