5288964192512 has 1728 divisors, whose sum is σ = 16452570032640. Its totient is φ = 1639663534080.

The previous prime is 5288964192511. The next prime is 5288964192553. The reversal of 5288964192512 is 2152914698825.

It is a super-2 number, since 2×5288964192512² (a number of 26 digits) contains 22 as substring.

Its product of digits (24883200) is a multiple of the sum of its prime factors (288).

It is not an unprimeable number, because it can be changed into a prime (5288964192511) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33687669938 + ... + 33687670094.

Almost surely, 2^{5288964192512} is an apocalyptic number.

5288964192512 is a gapful number since it is divisible by the number (52) 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 5288964192512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8226285016320).

5288964192512 is an abundant number, since it is smaller than the sum of its proper divisors (11163605840128).

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

5288964192512 is a wasteful number, since it uses less digits than its factorization.

5288964192512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 263 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 62.

The spelling of 5288964192512 in words is "five trillion, two hundred eighty-eight billion, nine hundred sixty-four million, one hundred ninety-two thousand, five hundred twelve".