56556107671000 has 384 divisors, whose sum is σ = 163206740773440. Its totient is φ = 18227317248000.

The previous prime is 56556107670977. The next prime is 56556107671009. The reversal of 56556107671000 is 17670165565.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56556107671009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 675521142 + ... + 675604858.

Almost surely, 2^{56556107671000} is an apocalyptic number.

56556107671000 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 56556107671000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81603370386720).

56556107671000 is an abundant number, since it is smaller than the sum of its proper divisors (106650633102440).

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

56556107671000 is a wasteful number, since it uses less digits than its factorization.

56556107671000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84580 (or 84559 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 49.

The spelling of 56556107671000 in words is "fifty-six trillion, five hundred fifty-six billion, one hundred seven million, six hundred seventy-one thousand".