55898149507200 has 15360 divisors, whose sum is σ = 333212673024000. Its totient is φ = 8828957491200.

The previous prime is 55898149507159. The next prime is 55898149507201. The reversal of 55898149507200 is 270594189855.

55898149507200 is a `hidden beast` number, since 5 + 5 + 8 + 9 + 81 + 49 + 507 + 2 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55898149507201) 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 1919 ways as a sum of consecutive naturals, for example, 1927522396786 + ... + 1927522396814.

It is an arithmetic number, because the mean of its divisors is an integer number (21693533400).

55898149507200 is a highly composite number, because it has more divisors than any smaller number.

55898149507200 is a superabundant number, because it has a larger abundancy index than any smaller number.

Almost surely, 2^{55898149507200} is an apocalyptic number.

55898149507200 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 55898149507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166606336512000).

55898149507200 is an abundant number, since it is smaller than the sum of its proper divisors (277314523516800).

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

55898149507200 is a wasteful number, since it uses less digits than its factorization.

55898149507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 63.

The spelling of 55898149507200 in words is "fifty-five trillion, eight hundred ninety-eight billion, one hundred forty-nine million, five hundred seven thousand, two hundred".