5264837222400 has 3024 divisors, whose sum is σ = 24278052105216. Its totient is φ = 1123685498880.

The previous prime is 5264837222369. The next prime is 5264837222419. The reversal of 5264837222400 is 42227384625.

5264837222400 is a `hidden beast` number, since 5 + 264 + 83 + 72 + 2 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 41455411137 + ... + 41455411263.

It is an arithmetic number, because the mean of its divisors is an integer number (8028456384).

Almost surely, 2^{5264837222400} is an apocalyptic number.

5264837222400 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 5264837222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12139026052608).

5264837222400 is an abundant number, since it is smaller than the sum of its proper divisors (19013214882816).

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

5264837222400 is a wasteful number, since it uses less digits than its factorization.

5264837222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 5264837222400 in words is "five trillion, two hundred sixty-four billion, eight hundred thirty-seven million, two hundred twenty-two thousand, four hundred".