55345521000 has 768 divisors, whose sum is σ = 226588078080. Its totient is φ = 10988736000.

The previous prime is 55345520987. The next prime is 55345521001. The reversal of 55345521000 is 12554355.

It is a happy number.

It is a super-2 number, since 2×55345521000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55345521001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58442527 + ... + 58443473.

It is an arithmetic number, because the mean of its divisors is an integer number (295036560).

Almost surely, 2^55345521000 is an apocalyptic number.

55345521000 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 55345521000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113294039040).

55345521000 is an abundant number, since it is smaller than the sum of its proper divisors (171242557080).

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

55345521000 is a wasteful number, since it uses less digits than its factorization.

55345521000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 55345521000 in words is "fifty-five billion, three hundred forty-five million, five hundred twenty-one thousand".