55658155060800 has 1176 divisors, whose sum is σ = 212925750903552. Its totient is φ = 14298011136000.

The previous prime is 55658155060759. The next prime is 55658155060909. The reversal of 55658155060800 is 806055185655.

It is a happy number.

55658155060800 is a `hidden beast` number, since 5 + 5 + 6 + 5 + 8 + 1 + 550 + 6 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 8207953410 + ... + 8207960190.

Almost surely, 2^{55658155060800} is an apocalyptic number.

55658155060800 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 55658155060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106462875451776).

55658155060800 is an abundant number, since it is smaller than the sum of its proper divisors (157267595842752).

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

55658155060800 is a wasteful number, since it uses less digits than its factorization.

55658155060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7079 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 7200000, while the sum is 54.

The spelling of 55658155060800 in words is "fifty-five trillion, six hundred fifty-eight billion, one hundred fifty-five million, sixty thousand, eight hundred".