5138009210880 has 2400 divisors, whose sum is σ = 23190505046016. Its totient is φ = 1059474898944.

The previous prime is 5138009210869. The next prime is 5138009210891. The reversal of 5138009210880 is 880129008315.

It is a happy number.

5138009210880 is a `hidden beast` number, since 5 + 1 + 380 + 0 + 92 + 108 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5138009210869) and next prime (5138009210891).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40456765377 + ... + 40456765503.

Almost surely, 2^{5138009210880} 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 5138009210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11595252523008).

5138009210880 is an abundant number, since it is smaller than the sum of its proper divisors (18052495835136).

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

5138009210880 is a wasteful number, since it uses less digits than its factorization.

5138009210880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 5138009210880 in words is "five trillion, one hundred thirty-eight billion, nine million, two hundred ten thousand, eight hundred eighty".