5296731566400 has 1344 divisors, whose sum is σ = 21784548556800. Its totient is φ = 1245185187840.

The previous prime is 5296731566369. The next prime is 5296731566459. The reversal of 5296731566400 is 46651376925.

5296731566400 is a `hidden beast` number, since 5 + 2 + 9 + 6 + 7 + 31 + 566 + 40 + 0 = 666.

It is a super-3 number, since 3×5296731566400³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 698497009 + ... + 698504591.

Almost surely, 2^{5296731566400} is an apocalyptic number.

5296731566400 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 5296731566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10892274278400).

5296731566400 is an abundant number, since it is smaller than the sum of its proper divisors (16487816990400).

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

5296731566400 is a wasteful number, since it uses less digits than its factorization.

5296731566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7693 (or 7672 counting only the distinct ones).

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

The spelling of 5296731566400 in words is "five trillion, two hundred ninety-six billion, seven hundred thirty-one million, five hundred sixty-six thousand, four hundred".