54783166400 has 336 divisors, whose sum is σ = 151274532096. Its totient is φ = 19418234880.

The previous prime is 54783166391. The next prime is 54783166409. The reversal of 54783166400 is 466138745.

It is an interprime number because it is at equal distance from previous prime (54783166391) and next prime (54783166409).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54783166409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41914547 + ... + 41915853.

Almost surely, 2^54783166400 is an apocalyptic number.

54783166400 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 54783166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75637266048).

54783166400 is an abundant number, since it is smaller than the sum of its proper divisors (96491365696).

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

54783166400 is a wasteful number, since it uses less digits than its factorization.

54783166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 54783166400 in words is "fifty-four billion, seven hundred eighty-three million, one hundred sixty-six thousand, four hundred".