55019416320 has 864 divisors, whose sum is σ = 219221452800. Its totient is φ = 13053173760.

The previous prime is 55019416297. The next prime is 55019416343. The reversal of 55019416320 is 2361491055.

55019416320 is a `hidden beast` number, since 5 + 5 + 0 + 19 + 4 + 1 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55019416297) and next prime (55019416343).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246723729 + ... + 246723951.

Almost surely, 2^55019416320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55019416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109610726400).

55019416320 is an abundant number, since it is smaller than the sum of its proper divisors (164202036480).

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

55019416320 is a wasteful number, since it uses less digits than its factorization.

55019416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 55019416320 in words is "fifty-five billion, nineteen million, four hundred sixteen thousand, three hundred twenty".