5107276800 has 396 divisors, whose sum is σ = 18986842056. Its totient is φ = 1360281600.

The previous prime is 5107276787. The next prime is 5107276829. The reversal of 5107276800 is 86727015.

5107276800 is a `hidden beast` number, since 510 + 72 + 76 + 8 + 0 + 0 = 666.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6220390 + ... + 6221210.

Almost surely, 2^5107276800 is an apocalyptic number.

5107276800 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 5107276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9493421028).

5107276800 is an abundant number, since it is smaller than the sum of its proper divisors (13879565256).

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

5107276800 is an equidigital number, since it uses as much as digits as its factorization.

5107276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 5107276800 is about 71465.2139155827. The cubic root of 5107276800 is about 1722.1188957472.

The spelling of 5107276800 in words is "five billion, one hundred seven million, two hundred seventy-six thousand, eight hundred".