5195435240448 has 286 divisors, whose sum is σ = 15580317237716. Its totient is φ = 1731630348288.

The previous prime is 5195435240381. The next prime is 5195435240563. The reversal of 5195435240448 is 8440425345915.

5195435240448 is a `hidden beast` number, since 5 + 1 + 9 + 543 + 52 + 4 + 0 + 4 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5195435240394 and 5195435240403.

It is an unprimeable number.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 544190811 + ... + 544200357.

Almost surely, 2^{5195435240448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5195435240448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7790158618858).

5195435240448 is an abundant number, since it is smaller than the sum of its proper divisors (10384881997268).

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

5195435240448 is an frugal number, since it uses more digits than its factorization.

5195435240448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9603 (or 9552 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 5195435240448 in words is "five trillion, one hundred ninety-five billion, four hundred thirty-five million, two hundred forty thousand, four hundred forty-eight".