5061076800 has 504 divisors, whose sum is σ = 19089599616. Its totient is φ = 1169326080.

The previous prime is 5061076763. The next prime is 5061076819. The reversal of 5061076800 is 86701605.

It is a super-2 number, since 2×5061076800² = 51228996750996480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13790217 + ... + 13790583.

Almost surely, 2^5061076800 is an apocalyptic number.

5061076800 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 5061076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9544799808).

5061076800 is an abundant number, since it is smaller than the sum of its proper divisors (14028522816).

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

5061076800 is a wasteful number, since it uses less digits than its factorization.

5061076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 5061076800 is about 71141.2454206419. The cubic root of 5061076800 is about 1716.9104443238.

The spelling of 5061076800 in words is "five billion, sixty-one million, seventy-six thousand, eight hundred".