5348704957200 has 960 divisors, whose sum is σ = 21196753320960. Its totient is φ = 1280747635200.

The previous prime is 5348704957153. The next prime is 5348704957201. The reversal of 5348704957200 is 27594078435.

It is a happy number.

5348704957200 is a `hidden beast` number, since 5 + 3 + 4 + 87 + 0 + 495 + 72 + 0 + 0 = 666.

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 (5348704957201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1193106159 + ... + 1193110641.

It is an arithmetic number, because the mean of its divisors is an integer number (22079951376).

Almost surely, 2^{5348704957200} is an apocalyptic number.

5348704957200 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 5348704957200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10598376660480).

5348704957200 is an abundant number, since it is smaller than the sum of its proper divisors (15848048363760).

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

5348704957200 is a wasteful number, since it uses less digits than its factorization.

5348704957200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 5348704957200 in words is "five trillion, three hundred forty-eight billion, seven hundred four million, nine hundred fifty-seven thousand, two hundred".