5253211540800 has 1344 divisors, whose sum is σ = 20264516321280. Its totient is φ = 1322044416000.

The previous prime is 5253211540777. The next prime is 5253211540807. The reversal of 5253211540800 is 80451123525.

5253211540800 is a `hidden beast` number, since 5 + 2 + 5 + 32 + 1 + 1 + 540 + 80 + 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 (5253211540807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11395252570 + ... + 11395253030.

It is an arithmetic number, because the mean of its divisors is an integer number (15077765120).

Almost surely, 2^{5253211540800} is an apocalyptic number.

5253211540800 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 5253211540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10132258160640).

5253211540800 is an abundant number, since it is smaller than the sum of its proper divisors (15011304780480).

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

5253211540800 is a wasteful number, since it uses less digits than its factorization.

5253211540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 5253211540800 in words is "five trillion, two hundred fifty-three billion, two hundred eleven million, five hundred forty thousand, eight hundred".