5662536000000 has 1120 divisors, whose sum is σ = 20888113878720. Its totient is φ = 1351680000000.

The previous prime is 5662535999959. The next prime is 5662536000007. The reversal of 5662536000000 is 6352665.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5662536000007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 23495999880 + ... + 23496000120.

Almost surely, 2^{5662536000000} is an apocalyptic number.

5662536000000 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 5662536000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10444056939360).

5662536000000 is an abundant number, since it is smaller than the sum of its proper divisors (15225577878720).

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

5662536000000 is an frugal number, since it uses more digits than its factorization.

5662536000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 5662536000000 in words is "five trillion, six hundred sixty-two billion, five hundred thirty-six million", and thus it is an aban number.