55640487067200 has 504 divisors, whose sum is σ = 226732983005568. Its totient is φ = 12677186396160.

The previous prime is 55640487067133. The next prime is 55640487067219. The reversal of 55640487067200 is 276078404655.

It is a happy number.

55640487067200 is a `hidden beast` number, since 5 + 56 + 40 + 487 + 0 + 6 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30668629 + ... + 32432171.

Almost surely, 2^{55640487067200} is an apocalyptic number.

55640487067200 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 55640487067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113366491502784).

55640487067200 is an abundant number, since it is smaller than the sum of its proper divisors (171092495938368).

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

55640487067200 is a wasteful number, since it uses less digits than its factorization.

55640487067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763891 (or 1763873 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 55640487067200 in words is "fifty-five trillion, six hundred forty billion, four hundred eighty-seven million, sixty-seven thousand, two hundred".