54111107284416 has 1680 divisors, whose sum is σ = 212626021174336. Its totient is φ = 13245156163584.

The previous prime is 54111107284393. The next prime is 54111107284439. The reversal of 54111107284416 is 61448270111145.

54111107284416 is a `hidden beast` number, since 5 + 41 + 1 + 110 + 7 + 2 + 84 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (54111107284393) and next prime (54111107284439).

It is a super-2 number, since 2×54111107284416² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9952380450 + ... + 9952385886.

Almost surely, 2^{54111107284416} is an apocalyptic number.

54111107284416 is a gapful number since it is divisible by the number (56) 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 54111107284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106313010587168).

54111107284416 is an abundant number, since it is smaller than the sum of its proper divisors (158514913889920).

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

54111107284416 is a wasteful number, since it uses less digits than its factorization.

54111107284416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5588 (or 5552 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 54111107284416 in words is "fifty-four trillion, one hundred eleven billion, one hundred seven million, two hundred eighty-four thousand, four hundred sixteen".