5226097536000 has 2816 divisors, whose sum is σ = 22660820582400. Its totient is φ = 1175150592000.

The previous prime is 5226097535999. The next prime is 5226097536019. The reversal of 5226097536000 is 6357906225.

5226097536000 is a `hidden beast` number, since 5 + 2 + 2 + 609 + 7 + 5 + 36 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37597823931 + ... + 37597824069.

It is an arithmetic number, because the mean of its divisors is an integer number (8047166400).

Almost surely, 2^{5226097536000} is an apocalyptic number.

5226097536000 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 5226097536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11330410291200).

5226097536000 is an abundant number, since it is smaller than the sum of its proper divisors (17434723046400).

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

5226097536000 is a wasteful number, since it uses less digits than its factorization.

5226097536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 5226097536000 in words is "five trillion, two hundred twenty-six billion, ninety-seven million, five hundred thirty-six thousand".