55183743014400 has 5760 divisors, whose sum is σ = 280856904007680. Its totient is φ = 9977167872000.

The previous prime is 55183743014363. The next prime is 55183743014419. The reversal of 55183743014400 is 441034738155.

55183743014400 is a `hidden beast` number, since 55 + 183 + 7 + 4 + 3 + 0 + 14 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 153715161421 + ... + 153715161779.

It is an arithmetic number, because the mean of its divisors is an integer number (48759879168).

Almost surely, 2^{55183743014400} is an apocalyptic number.

55183743014400 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 55183743014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140428452003840).

55183743014400 is an abundant number, since it is smaller than the sum of its proper divisors (225673160993280).

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

55183743014400 is a wasteful number, since it uses less digits than its factorization.

55183743014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 55183743014400 in words is "fifty-five trillion, one hundred eighty-three billion, seven hundred forty-three million, fourteen thousand, four hundred".