55461762720000 has 7200 divisors, whose sum is σ = 276221953480704. Its totient is φ = 10749542400000.

The previous prime is 55461762719941. The next prime is 55461762720083. The reversal of 55461762720000 is 2726716455.

55461762720000 is a `hidden beast` number, since 5 + 5 + 4 + 6 + 17 + 627 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

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

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 799 ways as a sum of consecutive naturals, for example, 1352725919980 + ... + 1352725920020.

Almost surely, 2^{55461762720000} is an apocalyptic number.

55461762720000 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 55461762720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138110976740352).

55461762720000 is an abundant number, since it is smaller than the sum of its proper divisors (220760190760704).

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

55461762720000 is a wasteful number, since it uses less digits than its factorization.

55461762720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 55461762720000 in words is "fifty-five trillion, four hundred sixty-one billion, seven hundred sixty-two million, seven hundred twenty thousand".