5630716954800 has 2880 divisors, whose sum is σ = 25856065105920. Its totient is φ = 1135470182400.

The previous prime is 5630716954781. The next prime is 5630716954823. The reversal of 5630716954800 is 84596170365.

5630716954800 is a `hidden beast` number, since 5 + 6 + 3 + 0 + 71 + 6 + 95 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 58048628352 + ... + 58048628448.

It is an arithmetic number, because the mean of its divisors is an integer number (8977800384).

Almost surely, 2^{5630716954800} is an apocalyptic number.

5630716954800 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 5630716954800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12928032552960).

5630716954800 is an abundant number, since it is smaller than the sum of its proper divisors (20225348151120).

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

5630716954800 is a wasteful number, since it uses less digits than its factorization.

5630716954800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 5630716954800 in words is "five trillion, six hundred thirty billion, seven hundred sixteen million, nine hundred fifty-four thousand, eight hundred".