56628417216 has 168 divisors, whose sum is σ = 179914515456. Its totient is φ = 15657546240.

The previous prime is 56628417203. The next prime is 56628417233. The reversal of 56628417216 is 61271482665.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194565 + ... + 388731.

Almost surely, 2^56628417216 is an apocalyptic number.

56628417216 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 56628417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89957257728).

56628417216 is an abundant number, since it is smaller than the sum of its proper divisors (123286098240).

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

56628417216 is a wasteful number, since it uses less digits than its factorization.

56628417216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194227 (or 194210 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 56628417216 in words is "fifty-six billion, six hundred twenty-eight million, four hundred seventeen thousand, two hundred sixteen".