5212701144000 has 1008 divisors, whose sum is σ = 22196149294176. Its totient is φ = 1163731968000.

The previous prime is 5212701143989. The next prime is 5212701144041. The reversal of 5212701144000 is 4411072125.

5212701144000 is a `hidden beast` number, since 5 + 212 + 7 + 0 + 1 + 1 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 151686820 + ... + 151721180.

Almost surely, 2^{5212701144000} is an apocalyptic number.

5212701144000 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 5212701144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11098074647088).

5212701144000 is an abundant number, since it is smaller than the sum of its proper divisors (16983448150176).

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

5212701144000 is a wasteful number, since it uses less digits than its factorization.

5212701144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34451 (or 34421 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 5212701144000 in words is "five trillion, two hundred twelve billion, seven hundred one million, one hundred forty-four thousand".