5801288056200 has 3456 divisors, whose sum is σ = 27346707198720. Its totient is φ = 1128701952000.

The previous prime is 5801288056171. The next prime is 5801288056253. The reversal of 5801288056200 is 26508821085.

5801288056200 is a `hidden beast` number, since 5 + 8 + 0 + 1 + 2 + 8 + 80 + 562 + 0 + 0 = 666.

It is a super-2 number, since 2×5801288056200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 38419126125 + ... + 38419126275.

It is an arithmetic number, because the mean of its divisors is an integer number (7912820370).

Almost surely, 2^{5801288056200} is an apocalyptic number.

5801288056200 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 5801288056200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13673353599360).

5801288056200 is an abundant number, since it is smaller than the sum of its proper divisors (21545419142520).

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

5801288056200 is a wasteful number, since it uses less digits than its factorization.

5801288056200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 5801288056200 in words is "five trillion, eight hundred one billion, two hundred eighty-eight million, fifty-six thousand, two hundred".