55855377843408 has 800 divisors, whose sum is σ = 191836397934720. Its totient is φ = 15467232890880.

The previous prime is 55855377843373. The next prime is 55855377843431. The reversal of 55855377843408 is 80434877355855.

It is a happy number.

55855377843408 is a `hidden beast` number, since 5 + 5 + 8 + 5 + 537 + 7 + 8 + 43 + 40 + 8 = 666.

55855377843408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×55855377843408³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9608697910 + ... + 9608703722.

Almost surely, 2^{55855377843408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55855377843408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95918198967360).

55855377843408 is an abundant number, since it is smaller than the sum of its proper divisors (135981020091312).

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

55855377843408 is a wasteful number, since it uses less digits than its factorization.

55855377843408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 2257920000, while the sum is 72.

The spelling of 55855377843408 in words is "fifty-five trillion, eight hundred fifty-five billion, three hundred seventy-seven million, eight hundred forty-three thousand, four hundred eight".