56011000 has 64 divisors (see below), whose sum is σ = 132912000. Its totient is φ = 22089600.

The previous prime is 56010991. The next prime is 56011009. The reversal of 56011000 is 11065.

It is an interprime number because it is at equal distance from previous prime (56010991) and next prime (56011009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56011009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78646 + ... + 79354.

It is an arithmetic number, because the mean of its divisors is an integer number (2076750).

Almost surely, 2^56011000 is an apocalyptic number.

56011000 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 56011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66456000).

56011000 is an abundant number, since it is smaller than the sum of its proper divisors (76901000).

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

56011000 is a wasteful number, since it uses less digits than its factorization.

56011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 56011000 is about 7484.0497058745. The cubic root of 56011000 is about 382.6112852038.

Adding to 56011000 its reverse (11065), we get a palindrome (56022065).

The spelling of 56011000 in words is "fifty-six million, eleven thousand".