56662507104 has 288 divisors, whose sum is σ = 183479990400. Its totient is φ = 15223541760.

The previous prime is 56662507103. The next prime is 56662507117. The reversal of 56662507104 is 40170526665.

It is a super-2 number, since 2×56662507104² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56662507103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12420984 + ... + 12425544.

It is an arithmetic number, because the mean of its divisors is an integer number (637083300).

Almost surely, 2^56662507104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56662507104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91739995200).

56662507104 is an abundant number, since it is smaller than the sum of its proper divisors (126817483296).

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

56662507104 is a wasteful number, since it uses less digits than its factorization.

56662507104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 4731 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 56662507104 in words is "fifty-six billion, six hundred sixty-two million, five hundred seven thousand, one hundred four".