54100001217600 has 5040 divisors, whose sum is σ = 243035502589440. Its totient is φ = 11738500300800.

The previous prime is 54100001217547. The next prime is 54100001217607. The reversal of 54100001217600 is 671210000145.

It is a happy number.

54100001217600 is a `hidden beast` number, since 5 + 41 + 0 + 0 + 0 + 0 + 1 + 2 + 17 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (54100001217607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 496330286346 + ... + 496330286454.

Almost surely, 2^{54100001217600} is an apocalyptic number.

54100001217600 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 54100001217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121517751294720).

54100001217600 is an abundant number, since it is smaller than the sum of its proper divisors (188935501371840).

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

54100001217600 is a wasteful number, since it uses less digits than its factorization.

54100001217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 54100001217600 its reverse (671210000145), we get a palindrome (54771211217745).

The spelling of 54100001217600 in words is "fifty-four trillion, one hundred billion, one million, two hundred seventeen thousand, six hundred".