5251311881280 has 672 divisors, whose sum is σ = 18980318867328. Its totient is φ = 1381847040000.

The previous prime is 5251311881279. The next prime is 5251311881287. The reversal of 5251311881280 is 821881131525.

It is a happy number.

5251311881280 is a `hidden beast` number, since 5 + 2 + 51 + 311 + 8 + 8 + 1 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5251311881287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2205505690 + ... + 2205508070.

It is an arithmetic number, because the mean of its divisors is an integer number (28244522124).

Almost surely, 2^{5251311881280} 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 5251311881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9490159433664).

5251311881280 is an abundant number, since it is smaller than the sum of its proper divisors (13729006986048).

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

5251311881280 is a wasteful number, since it uses less digits than its factorization.

5251311881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

The spelling of 5251311881280 in words is "five trillion, two hundred fifty-one billion, three hundred eleven million, eight hundred eighty-one thousand, two hundred eighty".