54518805216000 has 1152 divisors, whose sum is σ = 210627783475200. Its totient is φ = 13870725120000.

The previous prime is 54518805215923. The next prime is 54518805216077. The reversal of 54518805216000 is 61250881545.

54518805216000 is a `hidden beast` number, since 5 + 4 + 5 + 18 + 8 + 0 + 5 + 21 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54518805215923) and next prime (54518805216077).

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 1901649666 + ... + 1901678334.

It is an arithmetic number, because the mean of its divisors is an integer number (182836617600).

Almost surely, 2^{54518805216000} is an apocalyptic number.

54518805216000 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 54518805216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105313891737600).

54518805216000 is an abundant number, since it is smaller than the sum of its proper divisors (156108978259200).

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

54518805216000 is a wasteful number, since it uses less digits than its factorization.

54518805216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28811 (or 28781 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 54518805216000 in words is "fifty-four trillion, five hundred eighteen billion, eight hundred five million, two hundred sixteen thousand".