55759320400 has 120 divisors (see below), whose sum is σ = 153174481920. Its totient is φ = 19108078080.

The previous prime is 55759320389. The next prime is 55759320401. The reversal of 55759320400 is 402395755.

It is a super-2 number, since 2×55759320400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55759320401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8057742 + ... + 8064658.

It is an arithmetic number, because the mean of its divisors is an integer number (1276454016).

Almost surely, 2^55759320400 is an apocalyptic number.

55759320400 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 55759320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76587240960).

55759320400 is an abundant number, since it is smaller than the sum of its proper divisors (97415161520).

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

55759320400 is a wasteful number, since it uses less digits than its factorization.

55759320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9821 (or 9810 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 40.

The spelling of 55759320400 in words is "fifty-five billion, seven hundred fifty-nine million, three hundred twenty thousand, four hundred".