5351211648000 has 1056 divisors, whose sum is σ = 20682290603520. Its totient is φ = 1364480409600.

The previous prime is 5351211647959. The next prime is 5351211648037. The reversal of 5351211648000 is 8461121535.

5351211648000 is a `hidden beast` number, since 5 + 3 + 5 + 1 + 2 + 1 + 1 + 648 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×5351211648000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1828222537 + ... + 1828225463.

Almost surely, 2^{5351211648000} is an apocalyptic number.

5351211648000 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 5351211648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10341145301760).

5351211648000 is an abundant number, since it is smaller than the sum of its proper divisors (15331078955520).

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

5351211648000 is a wasteful number, since it uses less digits than its factorization.

5351211648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 5351211648000 its reverse (8461121535), we get a palindrome (5359672769535).

The spelling of 5351211648000 in words is "five trillion, three hundred fifty-one billion, two hundred eleven million, six hundred forty-eight thousand".