55019865600 has 1620 divisors, whose sum is σ = 250690884444. Its totient is φ = 11914076160.

The previous prime is 55019865599. The next prime is 55019865623. The reversal of 55019865600 is 656891055.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

55019865600 is a `hidden beast` number, since 5 + 5 + 0 + 1 + 9 + 86 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×55019865600² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 2895782391 + ... + 2895782409.

Almost surely, 2^55019865600 is an apocalyptic number.

55019865600 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 55019865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125345442222).

55019865600 is an abundant number, since it is smaller than the sum of its proper divisors (195671018844).

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

55019865600 is an equidigital number, since it uses as much as digits as its factorization.

55019865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 55019865600 in words is "fifty-five billion, nineteen million, eight hundred sixty-five thousand, six hundred".