54786138511104 has 1728 divisors, whose sum is σ = 221905697699840. Its totient is φ = 13134059642880.

The previous prime is 54786138511103. The next prime is 54786138511109. The reversal of 54786138511104 is 40111583168745.

54786138511104 is a `hidden beast` number, since 5 + 4 + 7 + 8 + 6 + 13 + 8 + 511 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54786138511103) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6164746149 + ... + 6164755035.

Almost surely, 2^{54786138511104} is an apocalyptic number.

54786138511104 is a gapful number since it is divisible by the number (54) 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 54786138511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110952848849920).

54786138511104 is an abundant number, since it is smaller than the sum of its proper divisors (167119559188736).

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

54786138511104 is an equidigital number, since it uses as much as digits as its factorization.

54786138511104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8966 (or 8923 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 54786138511104 in words is "fifty-four trillion, seven hundred eighty-six billion, one hundred thirty-eight million, five hundred eleven thousand, one hundred four".