5312084871600 has 360 divisors, whose sum is σ = 20537013828240. Its totient is φ = 1262500485120.

The previous prime is 5312084871589. The next prime is 5312084871617. The reversal of 5312084871600 is 61784802135.

5312084871600 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 0 + 8 + 487 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 599802 + ... + 3314201.

It is an arithmetic number, because the mean of its divisors is an integer number (57047260634).

Almost surely, 2^{5312084871600} is an apocalyptic number.

5312084871600 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 5312084871600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10268506914120).

5312084871600 is an abundant number, since it is smaller than the sum of its proper divisors (15224928956640).

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

5312084871600 is a wasteful number, since it uses less digits than its factorization.

5312084871600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3914069 (or 3914055 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 5312084871600 in words is "five trillion, three hundred twelve billion, eighty-four million, eight hundred seventy-one thousand, six hundred".