55352246944500 has 1152 divisors, whose sum is σ = 200025437713920. Its totient is φ = 12762086400000.

The previous prime is 55352246944483. The next prime is 55352246944523. The reversal of 55352246944500 is 544964225355.

55352246944500 is a `hidden beast` number, since 5 + 5 + 3 + 5 + 2 + 2 + 46 + 94 + 4 + 500 = 666.

It is a super-3 number, since 3×55352246944500³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 71607046114 + ... + 71607046886.

It is an arithmetic number, because the mean of its divisors is an integer number (173633192460).

Almost surely, 2^{55352246944500} is an apocalyptic number.

55352246944500 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 55352246944500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100012718856960).

55352246944500 is an abundant number, since it is smaller than the sum of its proper divisors (144673190769420).

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

55352246944500 is a wasteful number, since it uses less digits than its factorization.

55352246944500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 55352246944500 in words is "fifty-five trillion, three hundred fifty-two billion, two hundred forty-six million, nine hundred forty-four thousand, five hundred".