54100200000 has 672 divisors, whose sum is σ = 223251710976. Its totient is φ = 11232000000.

The previous prime is 54100199983. The next prime is 54100200001. The reversal of 54100200000 is 200145.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54100200001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46199415 + ... + 46200585.

It is an arithmetic number, because the mean of its divisors is an integer number (332219808).

Almost surely, 2^54100200000 is an apocalyptic number.

54100200000 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 54100200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111625855488).

54100200000 is an abundant number, since it is smaller than the sum of its proper divisors (169151510976).

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

54100200000 is a wasteful number, since it uses less digits than its factorization.

54100200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

Adding to 54100200000 its reverse (200145), we get a palindrome (54100400145).

The spelling of 54100200000 in words is "fifty-four billion, one hundred million, two hundred thousand".