55845519206400 has 5760 divisors, whose sum is σ = 272504808576000. Its totient is φ = 11197838131200.

The previous prime is 55845519206387. The next prime is 55845519206413. The reversal of 55845519206400 is 460291554855.

55845519206400 is a `hidden beast` number, since 5 + 5 + 8 + 4 + 551 + 9 + 20 + 64 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55845519206387) and next prime (55845519206413).

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 672837580759 + ... + 672837580841.

It is an arithmetic number, because the mean of its divisors is an integer number (47309862600).

Almost surely, 2^{55845519206400} is an apocalyptic number.

55845519206400 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 55845519206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136252404288000).

55845519206400 is an abundant number, since it is smaller than the sum of its proper divisors (216659289369600).

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

55845519206400 is a wasteful number, since it uses less digits than its factorization.

55845519206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 55845519206400 in words is "fifty-five trillion, eight hundred forty-five billion, five hundred nineteen million, two hundred six thousand, four hundred".