54955500400 has 120 divisors (see below), whose sum is σ = 132935130000. Its totient is φ = 21832212480.

The previous prime is 54955500371. The next prime is 54955500401. The reversal of 54955500400 is 400555945.

54955500400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 54955500400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54955500401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43998976 + ... + 44000224.

It is an arithmetic number, because the mean of its divisors is an integer number (1107792750).

Almost surely, 2^54955500400 is an apocalyptic number.

54955500400 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 54955500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66467565000).

54955500400 is an abundant number, since it is smaller than the sum of its proper divisors (77979629600).

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

54955500400 is a wasteful number, since it uses less digits than its factorization.

54955500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

The spelling of 54955500400 in words is "fifty-four billion, nine hundred fifty-five million, five hundred thousand, four hundred".