5381128917864 has 192 divisors, whose sum is σ = 17284565975040. Its totient is φ = 1536414505920.

The previous prime is 5381128917859. The next prime is 5381128917877. The reversal of 5381128917864 is 4687198211835.

5381128917864 is a `hidden beast` number, since 5 + 381 + 1 + 2 + 89 + 178 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19882957 + ... + 20151779.

It is an arithmetic number, because the mean of its divisors is an integer number (90023781120).

Almost surely, 2^{5381128917864} is an apocalyptic number.

5381128917864 is a gapful number since it is divisible by the number (54) 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 5381128917864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8642282987520).

5381128917864 is an abundant number, since it is smaller than the sum of its proper divisors (11903437057176).

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

5381128917864 is a wasteful number, since it uses less digits than its factorization.

5381128917864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270322 (or 270306 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 5381128917864 in words is "five trillion, three hundred eighty-one billion, one hundred twenty-eight million, nine hundred seventeen thousand, eight hundred sixty-four".