541628236800 has 792 divisors, whose sum is σ = 2270660001792. Its totient is φ = 120766464000.

The previous prime is 541628236771. The next prime is 541628236859. The reversal of 541628236800 is 8632826145.

541628236800 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 282 + 368 + 0 + 0 = 666.

It is a super-2 number, since 2×541628236800² (a number of 24 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 71 ways as a sum of consecutive naturals, for example, 66120705 + ... + 66128895.

Almost surely, 2^541628236800 is an apocalyptic number.

541628236800 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 541628236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135330000896).

541628236800 is an abundant number, since it is smaller than the sum of its proper divisors (1729031764992).

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

541628236800 is a wasteful number, since it uses less digits than its factorization.

541628236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8275 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 541628236800 in words is "five hundred forty-one billion, six hundred twenty-eight million, two hundred thirty-six thousand, eight hundred".