56633016000000 has 560 divisors, whose sum is σ = 205735454052480. Its totient is φ = 13729152000000.

The previous prime is 56633015999983. The next prime is 56633016000007. The reversal of 56633016000000 is 61033665.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56633016000007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 263892741 + ... + 264107259.

Almost surely, 2^{56633016000000} is an apocalyptic number.

56633016000000 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 56633016000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102867727026240).

56633016000000 is an abundant number, since it is smaller than the sum of its proper divisors (149102438052480).

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

56633016000000 is an frugal number, since it uses more digits than its factorization.

56633016000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214581 (or 214540 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 56633016000000 its reverse (61033665), we get a palindrome (56633077033665).

The spelling of 56633016000000 in words is "fifty-six trillion, six hundred thirty-three billion, sixteen million", and thus it is an aban number.