54100505365164 has 168 divisors, whose sum is σ = 142528313460960. Its totient is φ = 17959958150400.

The previous prime is 54100505365121. The next prime is 54100505365187. The reversal of 54100505365164 is 46156350500145.

54100505365164 is a `hidden beast` number, since 5 + 4 + 1 + 0 + 0 + 5 + 0 + 536 + 51 + 64 = 666.

It is a super-2 number, since 2×54100505365164² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1670732254 + ... + 1670764634.

It is an arithmetic number, because the mean of its divisors is an integer number (848382818220).

Almost surely, 2^{54100505365164} is an apocalyptic number.

54100505365164 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 54100505365164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71264156730480).

54100505365164 is an abundant number, since it is smaller than the sum of its proper divisors (88427808095796).

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

54100505365164 is a wasteful number, since it uses less digits than its factorization.

54100505365164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34723 (or 34706 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 54100505365164 in words is "fifty-four trillion, one hundred billion, five hundred five million, three hundred sixty-five thousand, one hundred sixty-four".