5335156411200 has 2688 divisors, whose sum is σ = 24916530954240. Its totient is φ = 1078537420800.

The previous prime is 5335156411177. The next prime is 5335156411201. The reversal of 5335156411200 is 21146515335.

5335156411200 is a `hidden beast` number, since 5 + 3 + 3 + 5 + 1 + 5 + 641 + 1 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5335156411201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30839054314 + ... + 30839054486.

Almost surely, 2^{5335156411200} is an apocalyptic number.

5335156411200 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 5335156411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12458265477120).

5335156411200 is an abundant number, since it is smaller than the sum of its proper divisors (19581374543040).

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

5335156411200 is a wasteful number, since it uses less digits than its factorization.

5335156411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 5335156411200 in words is "five trillion, three hundred thirty-five billion, one hundred fifty-six million, four hundred eleven thousand, two hundred".