5289794294400 has 2688 divisors, whose sum is σ = 24966620784000. Its totient is φ = 1097349120000.

The previous prime is 5289794294387. The next prime is 5289794294413. The reversal of 5289794294400 is 44924979825.

5289794294400 is a `hidden beast` number, since 5 + 2 + 89 + 7 + 94 + 29 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5289794294387) and next prime (5289794294413).

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 8801654100 + ... + 8801654700.

It is an arithmetic number, because the mean of its divisors is an integer number (9288177375).

Almost surely, 2^{5289794294400} is an apocalyptic number.

5289794294400 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 5289794294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12483310392000).

5289794294400 is an abundant number, since it is smaller than the sum of its proper divisors (19676826489600).

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

5289794294400 is an equidigital number, since it uses as much as digits as its factorization.

5289794294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 5289794294400 in words is "five trillion, two hundred eighty-nine billion, seven hundred ninety-four million, two hundred ninety-four thousand, four hundred".