5212155334400 has 216 divisors, whose sum is σ = 14963950995840. Its totient is φ = 1760351662080.

The previous prime is 5212155334391. The next prime is 5212155334403. The reversal of 5212155334400 is 44335512125.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5212155334403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2133371 + ... + 3869829.

Almost surely, 2^{5212155334400} is an apocalyptic number.

5212155334400 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 5212155334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481975497920).

5212155334400 is an abundant number, since it is smaller than the sum of its proper divisors (9751795661440).

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

5212155334400 is a wasteful number, since it uses less digits than its factorization.

5212155334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736559 (or 1736540 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 5212155334400 in words is "five trillion, two hundred twelve billion, one hundred fifty-five million, three hundred thirty-four thousand, four hundred".