56466135936 has 1024 divisors, whose sum is σ = 215079321600. Its totient is φ = 14213283840.

The previous prime is 56466135931. The next prime is 56466135959. The reversal of 56466135936 is 63953166465.

It is a happy number.

56466135936 is a `hidden beast` number, since 5 + 6 + 46 + 6 + 1 + 3 + 593 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56466135931) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 548214861 + ... + 548214963.

It is an arithmetic number, because the mean of its divisors is an integer number (210038400).

Almost surely, 2^56466135936 is an apocalyptic number.

56466135936 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 56466135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107539660800).

56466135936 is an abundant number, since it is smaller than the sum of its proper divisors (158613185664).

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

56466135936 is a wasteful number, since it uses less digits than its factorization.

56466135936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 206 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The spelling of 56466135936 in words is "fifty-six billion, four hundred sixty-six million, one hundred thirty-five thousand, nine hundred thirty-six".