5236561796400 has 960 divisors, whose sum is σ = 21981615705600. Its totient is φ = 1170132480000.

The previous prime is 5236561796371. The next prime is 5236561796461. The reversal of 5236561796400 is 46971656325.

5236561796400 is a `hidden beast` number, since 5 + 2 + 3 + 6 + 561 + 79 + 6 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83485050 + ... + 83547750.

It is an arithmetic number, because the mean of its divisors is an integer number (22897516360).

Almost surely, 2^{5236561796400} is an apocalyptic number.

5236561796400 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 5236561796400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10990807852800).

5236561796400 is an abundant number, since it is smaller than the sum of its proper divisors (16745053909200).

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

5236561796400 is a wasteful number, since it uses less digits than its factorization.

5236561796400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62795 (or 62778 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 5236561796400 in words is "five trillion, two hundred thirty-six billion, five hundred sixty-one million, seven hundred ninety-six thousand, four hundred".