55019751300900 has 405 divisors, whose sum is σ = 180989257151241. Its totient is φ = 14458130795520.

The previous prime is 55019751300893. The next prime is 55019751300907. The reversal of 55019751300900 is 900315791055.

The square root of 55019751300900 is 7417530.

It is a perfect power (a square), and thus also a powerful number.

55019751300900 is a `hidden beast` number, since 5 + 501 + 9 + 7 + 5 + 130 + 0 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55019751300893) and next prime (55019751300907).

It can be written as a sum of positive squares in 13 ways, for example, as 52360477490916 + 2659273809984 = 7236054^2 + 1630728^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is not an unprimeable number, because it can be changed into a prime (55019751300907) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 48733171536 + ... + 48733172664.

Almost surely, 2^{55019751300900} is an apocalyptic number.

55019751300900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55019751300900 is the 7417530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55019751300900

55019751300900 is an abundant number, since it is smaller than the sum of its proper divisors (125969505850341).

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

55019751300900 is an equidigital number, since it uses as much as digits as its factorization.

55019751300900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 212625, while the sum is 45.

The spelling of 55019751300900 in words is "fifty-five trillion, nineteen billion, seven hundred fifty-one million, three hundred thousand, nine hundred".