5130181877760 has 336 divisors, whose sum is σ = 17796184473600. Its totient is φ = 1367076372480.

The previous prime is 5130181877749. The next prime is 5130181877773. The reversal of 5130181877760 is 677781810315.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5130181877697 and 5130181877706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626315265 + ... + 626323455.

Almost surely, 2^{5130181877760} 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 5130181877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8898092236800).

5130181877760 is an abundant number, since it is smaller than the sum of its proper divisors (12666002595840).

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

5130181877760 is a wasteful number, since it uses less digits than its factorization.

5130181877760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9927 (or 9900 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 5130181877760 in words is "five trillion, one hundred thirty billion, one hundred eighty-one million, eight hundred seventy-seven thousand, seven hundred sixty".