5387754240 has 864 divisors, whose sum is σ = 22418690112. Its totient is φ = 1179648000.

The previous prime is 5387754221. The next prime is 5387754263. The reversal of 5387754240 is 424577835.

5387754240 is a `hidden beast` number, since 5 + 38 + 77 + 542 + 4 + 0 = 666.

It is a super-3 number, since 3×5387754240³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88323810 + ... + 88323870.

It is an arithmetic number, because the mean of its divisors is an integer number (25947558).

Almost surely, 2^5387754240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5387754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11209345056).

5387754240 is an abundant number, since it is smaller than the sum of its proper divisors (17030935872).

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

5387754240 is a wasteful number, since it uses less digits than its factorization.

5387754240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The square root of 5387754240 is about 73401.3231488370. The cubic root of 5387754240 is about 1753.0834606913.

The spelling of 5387754240 in words is "five billion, three hundred eighty-seven million, seven hundred fifty-four thousand, two hundred forty".