56636253440 has 216 divisors, whose sum is σ = 155551020408. Its totient is φ = 19680460800.

The previous prime is 56636253433. The next prime is 56636253449. The reversal of 56636253440 is 4435263665.

It can be written as a sum of positive squares in 12 ways, for example, as 6810870784 + 49825382656 = 82528^2 + 223216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56636253391 and 56636253400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56636253449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3669740 + ... + 3685140.

It is an arithmetic number, because the mean of its divisors is an integer number (720143613).

Almost surely, 2^56636253440 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 56636253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77775510204).

56636253440 is an abundant number, since it is smaller than the sum of its proper divisors (98914766968).

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

56636253440 is a wasteful number, since it uses less digits than its factorization.

56636253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15465 (or 15438 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 44.

The spelling of 56636253440 in words is "fifty-six billion, six hundred thirty-six million, two hundred fifty-three thousand, four hundred forty".