541622116800 has 1008 divisors, whose sum is σ = 2119335603840. Its totient is φ = 135668183040.

The previous prime is 541622116757. The next prime is 541622116837. The reversal of 541622116800 is 8611226145.

It is a happy number.

541622116800 is a `hidden beast` number, since 5 + 416 + 221 + 16 + 8 + 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, 1159790167 + ... + 1159790633.

It is an arithmetic number, because the mean of its divisors is an integer number (2102515480).

Almost surely, 2^541622116800 is an apocalyptic number.

541622116800 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 541622116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059667801920).

541622116800 is an abundant number, since it is smaller than the sum of its proper divisors (1577713487040).

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

541622116800 is a wasteful number, since it uses less digits than its factorization.

541622116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 541622116800 in words is "five hundred forty-one billion, six hundred twenty-two million, one hundred sixteen thousand, eight hundred".