5314755600 has 1080 divisors, whose sum is σ = 24478745760. Its totient is φ = 1091059200.

The previous prime is 5314755587. The next prime is 5314755617. The reversal of 5314755600 is 65574135.

5314755600 is a `hidden beast` number, since 5 + 3 + 1 + 47 + 5 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 64033159 + ... + 64033241.

Almost surely, 2^5314755600 is an apocalyptic number.

5314755600 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 5314755600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12239372880).

5314755600 is an abundant number, since it is smaller than the sum of its proper divisors (19163990160).

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

5314755600 is a wasteful number, since it uses less digits than its factorization.

5314755600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 5314755600 is about 72902.3703318349. The cubic root of 5314755600 is about 1745.1299263144.

The spelling of 5314755600 in words is "five billion, three hundred fourteen million, seven hundred fifty-five thousand, six hundred".