56146266000 has 480 divisors, whose sum is σ = 223246782720. Its totient is φ = 13018368000.

The previous prime is 56146265953. The next prime is 56146266019. The reversal of 56146266000 is 66264165.

It is a happy number.

56146266000 is a `hidden beast` number, since 5 + 6 + 1 + 46 + 2 + 6 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4547836 + ... + 4560164.

It is an arithmetic number, because the mean of its divisors is an integer number (465097464).

Almost surely, 2^56146266000 is an apocalyptic number.

56146266000 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 56146266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111623391360).

56146266000 is an abundant number, since it is smaller than the sum of its proper divisors (167100516720).

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

56146266000 is a wasteful number, since it uses less digits than its factorization.

56146266000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12392 (or 12373 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 56146266000 in words is "fifty-six billion, one hundred forty-six million, two hundred sixty-six thousand".