5312179170900 has 1440 divisors, whose sum is σ = 21928333996800. Its totient is φ = 1084343500800.

The previous prime is 5312179170889. The next prime is 5312179170919. The reversal of 5312179170900 is 90719712135.

It is a happy number.

5312179170900 is a `hidden beast` number, since 531 + 2 + 17 + 9 + 17 + 0 + 90 + 0 = 666.

It is a super-2 number, since 2×5312179170900² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1649231290 + ... + 1649234510.

It is an arithmetic number, because the mean of its divisors is an integer number (15228009720).

Almost surely, 2^{5312179170900} is an apocalyptic number.

5312179170900 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 5312179170900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10964166998400).

5312179170900 is an abundant number, since it is smaller than the sum of its proper divisors (16616154825900).

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

5312179170900 is a wasteful number, since it uses less digits than its factorization.

5312179170900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The spelling of 5312179170900 in words is "five trillion, three hundred twelve billion, one hundred seventy-nine million, one hundred seventy thousand, nine hundred".