5148712800 has 864 divisors, whose sum is σ = 23340006144. Its totient is φ = 1036800000.

The previous prime is 5148712799. The next prime is 5148712813. The reversal of 5148712800 is 82178415.

5148712800 is a `hidden beast` number, since 51 + 487 + 128 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20512675 + ... + 20512925.

It is an arithmetic number, because the mean of its divisors is an integer number (27013896).

Almost surely, 2^5148712800 is an apocalyptic number.

5148712800 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 5148712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11670003072).

5148712800 is an abundant number, since it is smaller than the sum of its proper divisors (18191293344).

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

5148712800 is a wasteful number, since it uses less digits than its factorization.

5148712800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 5148712800 is about 71754.5315642155. The cubic root of 5148712800 is about 1726.7636153201.

The spelling of 5148712800 in words is "five billion, one hundred forty-eight million, seven hundred twelve thousand, eight hundred".