5387261335200 has 1440 divisors, whose sum is σ = 21575520578304. Its totient is φ = 1302738370560.

The previous prime is 5387261335129. The next prime is 5387261335219. The reversal of 5387261335200 is 25331627835.

5387261335200 is a `hidden beast` number, since 5 + 3 + 8 + 7 + 2 + 613 + 3 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3468937624 + ... + 3468939176.

Almost surely, 2^{5387261335200} is an apocalyptic number.

5387261335200 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 5387261335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10787760289152).

5387261335200 is an abundant number, since it is smaller than the sum of its proper divisors (16188259243104).

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

5387261335200 is a wasteful number, since it uses less digits than its factorization.

5387261335200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 5387261335200 in words is "five trillion, three hundred eighty-seven billion, two hundred sixty-one million, three hundred thirty-five thousand, two hundred".