54860411289600 has 2160 divisors, whose sum is σ = 238118931912960. Its totient is φ = 12344190566400.

The previous prime is 54860411289577. The next prime is 54860411289613. The reversal of 54860411289600 is 698211406845.

54860411289600 is a `hidden beast` number, since 5 + 4 + 8 + 6 + 0 + 4 + 1 + 1 + 28 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×54860411289600² (a number of 28 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36307352845 + ... + 36307354355.

It is an arithmetic number, because the mean of its divisors is an integer number (110240246256).

Almost surely, 2^{54860411289600} is an apocalyptic number.

54860411289600 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 54860411289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119059465956480).

54860411289600 is an abundant number, since it is smaller than the sum of its proper divisors (183258520623360).

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

54860411289600 is a wasteful number, since it uses less digits than its factorization.

54860411289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 54860411289600 in words is "fifty-four trillion, eight hundred sixty billion, four hundred eleven million, two hundred eighty-nine thousand, six hundred".