5200977600 has 1176 divisors, whose sum is σ = 24097589600. Its totient is φ = 1097349120.

The previous prime is 5200977583. The next prime is 5200977643. The reversal of 5200977600 is 67790025.

5200977600 is a `hidden beast` number, since 520 + 0 + 9 + 77 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

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 167 ways as a sum of consecutive naturals, for example, 400075194 + ... + 400075206.

Almost surely, 2^5200977600 is an apocalyptic number.

5200977600 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 5200977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12048794800).

5200977600 is an abundant number, since it is smaller than the sum of its proper divisors (18896612000).

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

5200977600 is an equidigital number, since it uses as much as digits as its factorization.

5200977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 5200977600 is about 72117.8036271211. The cubic root of 5200977600 is about 1732.5867725134.

The spelling of 5200977600 in words is "five billion, two hundred million, nine hundred seventy-seven thousand, six hundred".