5387505210000 has 375 divisors, whose sum is σ = 19492574887951. Its totient is φ = 1436110992000.

The previous prime is 5387505209969. The next prime is 5387505210019. The reversal of 5387505210000 is 125057835.

The square root of 5387505210000 is 2321100.

It is a perfect power (a square), and thus also a powerful number.

5387505210000 is a `hidden beast` number, since 5 + 3 + 87 + 50 + 521 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 422380408464 + 4965124801536 = 649908^2 + 2228256^2 .

It is a tau number, because it is divible by the number of its divisors (375).

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2088988711 + ... + 2088991289.

Almost surely, 2^{5387505210000} is an apocalyptic number.

5387505210000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5387505210000 is the 2321100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5387505210000

5387505210000 is an abundant number, since it is smaller than the sum of its proper divisors (14105069677951).

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

5387505210000 is an frugal number, since it uses more digits than its factorization.

5387505210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Multiplying 5387505210000 by its sum of digits (36), we get a square (193950187560000 = 13926600²).

5387505210000 divided by its sum of digits (36) gives a square (149652922500 = 386850²).

The spelling of 5387505210000 in words is "five trillion, three hundred eighty-seven billion, five hundred five million, two hundred ten thousand".