5381868011520 has 1920 divisors, whose sum is σ = 23438531837952. Its totient is φ = 1018272153600.

The previous prime is 5381868011519. The next prime is 5381868011521. The reversal of 5381868011520 is 251108681835.

It is an interprime number because it is at equal distance from previous prime (5381868011519) and next prime (5381868011521).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×5381868011520³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5381868011520.

It is not an unprimeable number, because it can be changed into a prime (5381868011521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32226754477 + ... + 32226754643.

Almost surely, 2^{5381868011520} 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 5381868011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11719265918976).

5381868011520 is an abundant number, since it is smaller than the sum of its proper divisors (18056663826432).

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

5381868011520 is a wasteful number, since it uses less digits than its factorization.

5381868011520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 48.

The spelling of 5381868011520 in words is "five trillion, three hundred eighty-one billion, eight hundred sixty-eight million, eleven thousand, five hundred twenty".