5314377600 has 960 divisors, whose sum is σ = 23415242400. Its totient is φ = 1161216000.

The previous prime is 5314377587. The next prime is 5314377613. The reversal of 5314377600 is 67734135.

5314377600 is a `hidden beast` number, since 5 + 3 + 1 + 43 + 7 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5314377587) and next prime (5314377613).

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 52617550 + ... + 52617650.

Almost surely, 2^5314377600 is an apocalyptic number.

5314377600 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 5314377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11707621200).

5314377600 is an abundant number, since it is smaller than the sum of its proper divisors (18100864800).

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

5314377600 is a wasteful number, since it uses less digits than its factorization.

5314377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 5314377600 is about 72899.7777774391. Note that the first 6 decimals coincide. The cubic root of 5314377600 is about 1745.0885525241.

The spelling of 5314377600 in words is "five billion, three hundred fourteen million, three hundred seventy-seven thousand, six hundred".