5396438246400 has 1782 divisors, whose sum is σ = 21413430755730. Its totient is φ = 1347992616960.

The previous prime is 5396438246399. The next prime is 5396438246413. The reversal of 5396438246400 is 46428346935.

5396438246400 is a `hidden beast` number, since 5 + 396 + 4 + 3 + 8 + 246 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 38805848064 + 5357632398336 = 196992^2 + 2314656^2 .

It is a super-2 number, since 2×5396438246400² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 60634137556 + ... + 60634137644.

Almost surely, 2^{5396438246400} is an apocalyptic number.

5396438246400 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 5396438246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10706715377865).

5396438246400 is an abundant number, since it is smaller than the sum of its proper divisors (16016992509330).

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

5396438246400 is an frugal number, since it uses more digits than its factorization.

5396438246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 5396438246400 in words is "five trillion, three hundred ninety-six billion, four hundred thirty-eight million, two hundred forty-six thousand, four hundred".