56442235252410 has 144 divisors (see below), whose sum is σ = 170728176674952. Its totient is φ = 12899630419200.

The previous prime is 56442235252393. The next prime is 56442235252451. The reversal of 56442235252410 is 1425253224465.

56442235252410 is a `hidden beast` number, since 5 + 6 + 4 + 4 + 223 + 5 + 2 + 5 + 2 + 410 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32145804254529 + 24296430997881 = 5669727^2 + 4929141^2 .

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 71 ways as a sum of consecutive naturals, for example, 38714080 + ... + 40145540.

Almost surely, 2^{56442235252410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56442235252410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85364088337476).

56442235252410 is an abundant number, since it is smaller than the sum of its proper divisors (114285941422542).

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

56442235252410 is a wasteful number, since it uses less digits than its factorization.

56442235252410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440429 (or 1440419 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 56442235252410 its reverse (1425253224465), we get a palindrome (57867488476875).

The spelling of 56442235252410 in words is "fifty-six trillion, four hundred forty-two billion, two hundred thirty-five million, two hundred fifty-two thousand, four hundred ten".