5386752000 has 624 divisors, whose sum is σ = 22325651712. Its totient is φ = 1223884800.

The previous prime is 5386751969. The next prime is 5386752023. The reversal of 5386752000 is 2576835.

5386752000 is a `hidden beast` number, since 5 + 386 + 75 + 200 + 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32255917 + ... + 32256083.

It is an arithmetic number, because the mean of its divisors is an integer number (35778288).

Almost surely, 2^5386752000 is an apocalyptic number.

5386752000 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 5386752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11162825856).

5386752000 is an abundant number, since it is smaller than the sum of its proper divisors (16938899712).

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

5386752000 is a wasteful number, since it uses less digits than its factorization.

5386752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5386752000 is about 73394.4957064220. The cubic root of 5386752000 is about 1752.9747500086.

The spelling of 5386752000 in words is "five billion, three hundred eighty-six million, seven hundred fifty-two thousand".