56541000390 has 128 divisors (see below), whose sum is σ = 160082334720. Its totient is φ = 12511948800.

The previous prime is 56541000359. The next prime is 56541000421. The reversal of 56541000390 is 9300014565.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56541000359) and next prime (56541000421).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1102846 + ... + 1152974.

It is an arithmetic number, because the mean of its divisors is an integer number (1250643240).

Almost surely, 2^56541000390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56541000390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80041167360).

56541000390 is an abundant number, since it is smaller than the sum of its proper divisors (103541334330).

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

56541000390 is a wasteful number, since it uses less digits than its factorization.

56541000390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50318.

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 56541000390 in words is "fifty-six billion, five hundred forty-one million, three hundred ninety", and thus it is an aban number.