56438630820 has 864 divisors, whose sum is σ = 222355276416. Its totient is φ = 11844403200.

The previous prime is 56438630813. The next prime is 56438630839. The reversal of 56438630820 is 2803683465.

It is a happy number.

56438630820 is a `hidden beast` number, since 5 + 6 + 4 + 3 + 8 + 630 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 200849080 + ... + 200849360.

It is an arithmetic number, because the mean of its divisors is an integer number (257355644).

Almost surely, 2^56438630820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56438630820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111177638208).

56438630820 is an abundant number, since it is smaller than the sum of its proper divisors (165916645596).

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

56438630820 is a wasteful number, since it uses less digits than its factorization.

56438630820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 56438630820 in words is "fifty-six billion, four hundred thirty-eight million, six hundred thirty thousand, eight hundred twenty".