55106646566400 has 2880 divisors, whose sum is σ = 240443829609984. Its totient is φ = 11873746944000.

The previous prime is 55106646566383. The next prime is 55106646566423. The reversal of 55106646566400 is 466564660155.

55106646566400 is a `hidden beast` number, since 5 + 5 + 10 + 6 + 64 + 6 + 566 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 56059660309 + ... + 56059661291.

Almost surely, 2^{55106646566400} is an apocalyptic number.

55106646566400 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 55106646566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120221914804992).

55106646566400 is an abundant number, since it is smaller than the sum of its proper divisors (185337183043584).

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

55106646566400 is a wasteful number, since it uses less digits than its factorization.

55106646566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 55106646566400 in words is "fifty-five trillion, one hundred six billion, six hundred forty-six million, five hundred sixty-six thousand, four hundred".