54916218051840 has 1152 divisors, whose sum is σ = 199572052377600. Its totient is φ = 14475602534400.

The previous prime is 54916218051839. The next prime is 54916218051857. The reversal of 54916218051840 is 4815081261945.

54916218051840 is a `hidden beast` number, since 5 + 4 + 9 + 1 + 6 + 2 + 1 + 80 + 518 + 40 = 666.

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 (54).

It is a congruent number.

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, 144897672771 + ... + 144897673149.

It is an arithmetic number, because the mean of its divisors is an integer number (173239628800).

Almost surely, 2^{54916218051840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54916218051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99786026188800).

54916218051840 is an abundant number, since it is smaller than the sum of its proper divisors (144655834325760).

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

54916218051840 is an equidigital number, since it uses as much as digits as its factorization.

54916218051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 54916218051840 in words is "fifty-four trillion, nine hundred sixteen billion, two hundred eighteen million, fifty-one thousand, eight hundred forty".