5419428249600 has 1920 divisors, whose sum is σ = 21663782268480. Its totient is φ = 1336022138880.

The previous prime is 5419428249583. The next prime is 5419428249607. The reversal of 5419428249600 is 69428249145.

5419428249600 is a `hidden beast` number, since 5 + 4 + 1 + 9 + 4 + 2 + 8 + 24 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is not an unprimeable number, because it can be changed into a prime (5419428249607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 80886988767 + ... + 80886988833.

Almost surely, 2^{5419428249600} is an apocalyptic number.

5419428249600 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 5419428249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10831891134240).

5419428249600 is an abundant number, since it is smaller than the sum of its proper divisors (16244354018880).

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

5419428249600 is an equidigital number, since it uses as much as digits as its factorization.

5419428249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 5419428249600 in words is "five trillion, four hundred nineteen billion, four hundred twenty-eight million, two hundred forty-nine thousand, six hundred".