55191783628800 has 3024 divisors, whose sum is σ = 256984867509552. Its totient is φ = 11638171238400.

The previous prime is 55191783628783. The next prime is 55191783628811. The reversal of 55191783628800 is 882638719155.

55191783628800 is a `hidden beast` number, since 5 + 5 + 191 + 7 + 8 + 362 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×55191783628800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 31701195930 + ... + 31701197670.

Almost surely, 2^{55191783628800} is an apocalyptic number.

55191783628800 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 55191783628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128492433754776).

55191783628800 is an abundant number, since it is smaller than the sum of its proper divisors (201793083880752).

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

55191783628800 is a wasteful number, since it uses less digits than its factorization.

55191783628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 55191783628800 in words is "fifty-five trillion, one hundred ninety-one billion, seven hundred eighty-three million, six hundred twenty-eight thousand, eight hundred".