5114601600 has 96 divisors (see below), whose sum is σ = 16846250640. Its totient is φ = 1363891200.

The previous prime is 5114601599. The next prime is 5114601719. The reversal of 5114601600 is 61064115.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256786 + ... + 275985.

Almost surely, 2^5114601600 is an apocalyptic number.

5114601600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5114601600 is an abundant number, since it is smaller than the sum of its proper divisors (11731649040).

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

5114601600 is a wasteful number, since it uses less digits than its factorization.

5114601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532798 (or 532781 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5114601600 is about 71516.4428645609. The cubic root of 5114601600 is about 1722.9417837826.

Adding to 5114601600 its reverse (61064115), we get a palindrome (5175665715).

It can be divided in two parts, 5114601 and 600, that added together give a triangular number (5115201 = T₃₁₉₈).

The spelling of 5114601600 in words is "five billion, one hundred fourteen million, six hundred one thousand, six hundred".