5387855936400 has 1440 divisors, whose sum is σ = 23063557171200. Its totient is φ = 1162377216000.

The previous prime is 5387855936389. The next prime is 5387855936401. The reversal of 5387855936400 is 46395587835.

5387855936400 is a `hidden beast` number, since 5 + 3 + 8 + 7 + 8 + 559 + 36 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5387855936401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1569429084 + ... + 1569432516.

Almost surely, 2^{5387855936400} is an apocalyptic number.

5387855936400 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 5387855936400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11531778585600).

5387855936400 is an abundant number, since it is smaller than the sum of its proper divisors (17675701234800).

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

5387855936400 is a wasteful number, since it uses less digits than its factorization.

5387855936400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 5387855936400 in words is "five trillion, three hundred eighty-seven billion, eight hundred fifty-five million, nine hundred thirty-six thousand, four hundred".