5190004800 has 672 divisors, whose sum is σ = 20681533440. Its totient is φ = 1260748800.

The previous prime is 5190004759. The next prime is 5190004819. The reversal of 5190004800 is 84000915.

It is a super-2 number, since 2×5190004800² = 53872299648046080000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27172705 + ... + 27172895.

Almost surely, 2^5190004800 is an apocalyptic number.

5190004800 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 5190004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10340766720).

5190004800 is an abundant number, since it is smaller than the sum of its proper divisors (15491528640).

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

5190004800 is a wasteful number, since it uses less digits than its factorization.

5190004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5190004800 is about 72041.6879313637. The cubic root of 5190004800 is about 1731.3674688199.

The spelling of 5190004800 in words is "five billion, one hundred ninety million, four thousand, eight hundred".