55505931742800 has 1080 divisors, whose sum is σ = 258818201396352. Its totient is φ = 10855240704000.

The previous prime is 55505931742771. The next prime is 55505931742813. The reversal of 55505931742800 is 824713950555.

55505931742800 is a `hidden beast` number, since 5 + 5 + 5 + 0 + 593 + 1 + 7 + 42 + 8 + 0 + 0 = 666.

It is a super-5 number, since 5×55505931742800⁵ (a number of 70 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 32145465 + ... + 33828135.

Almost surely, 2^{55505931742800} is an apocalyptic number.

55505931742800 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 55505931742800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129409100698176).

55505931742800 is an abundant number, since it is smaller than the sum of its proper divisors (203312269653552).

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

55505931742800 is a wasteful number, since it uses less digits than its factorization.

55505931742800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682737 (or 1682716 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 55505931742800 in words is "fifty-five trillion, five hundred five billion, nine hundred thirty-one million, seven hundred forty-two thousand, eight hundred".