5140281600 has 432 divisors, whose sum is σ = 19070029440. Its totient is φ = 1354752000.

The previous prime is 5140281593. The next prime is 5140281637. The reversal of 5140281600 is 61820415.

5140281600 is a `hidden beast` number, since 51 + 4 + 0 + 2 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 26092702 + ... + 26092898.

Almost surely, 2^5140281600 is an apocalyptic number.

5140281600 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 5140281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9535014720).

5140281600 is an abundant number, since it is smaller than the sum of its proper divisors (13929747840).

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

5140281600 is a wasteful number, since it uses less digits than its factorization.

5140281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5140281600 is about 71695.7571966431. The cubic root of 5140281600 is about 1725.8205547930.

The spelling of 5140281600 in words is "five billion, one hundred forty million, two hundred eighty-one thousand, six hundred".