5296400524800 has 1200 divisors, whose sum is σ = 24439683831552. Its totient is φ = 1100534169600.

The previous prime is 5296400524781. The next prime is 5296400524813. The reversal of 5296400524800 is 84250046925.

5296400524800 is a `hidden beast` number, since 5 + 2 + 9 + 6 + 40 + 0 + 524 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 79800429 + ... + 79866771.

Almost surely, 2^{5296400524800} is an apocalyptic number.

5296400524800 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 5296400524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12219841915776).

5296400524800 is an abundant number, since it is smaller than the sum of its proper divisors (19143283306752).

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

5296400524800 is a wasteful number, since it uses less digits than its factorization.

5296400524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66401 (or 66371 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 5296400524800 in words is "five trillion, two hundred ninety-six billion, four hundred million, five hundred twenty-four thousand, eight hundred".