5412156669000 has 1280 divisors, whose sum is σ = 21769071667200. Its totient is φ = 1245155328000.

The previous prime is 5412156668911. The next prime is 5412156669011. The reversal of 5412156669000 is 9666512145.

It is a super-2 number, since 2×5412156669000² (a number of 26 digits) contains 22 as substring.

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 319 ways as a sum of consecutive naturals, for example, 811049664 + ... + 811056336.

It is an arithmetic number, because the mean of its divisors is an integer number (17007087240).

Almost surely, 2^{5412156669000} is an apocalyptic number.

5412156669000 is a gapful number since it is divisible by the number (50) 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 5412156669000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10884535833600).

5412156669000 is an abundant number, since it is smaller than the sum of its proper divisors (16356914998200).

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

5412156669000 is a wasteful number, since it uses less digits than its factorization.

5412156669000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6773 (or 6750 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

It can be divided in two parts, 5412156 and 669000, that added together give a square (6081156 = 2466²).

The spelling of 5412156669000 in words is "five trillion, four hundred twelve billion, one hundred fifty-six million, six hundred sixty-nine thousand".