55814032834560 has 2880 divisors, whose sum is σ = 269498724977664. Its totient is φ = 10701766656000.

The previous prime is 55814032834541. The next prime is 55814032834577. The reversal of 55814032834560 is 6543823041855.

55814032834560 is a `hidden beast` number, since 5 + 5 + 8 + 1 + 40 + 3 + 2 + 8 + 34 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×55814032834560² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 55814032834497 and 55814032834506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19926465160 + ... + 19926467960.

Almost surely, 2^{55814032834560} 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 55814032834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134749362488832).

55814032834560 is an abundant number, since it is smaller than the sum of its proper divisors (213684692143104).

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

55814032834560 is a wasteful number, since it uses less digits than its factorization.

55814032834560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 55814032834560 in words is "fifty-five trillion, eight hundred fourteen billion, thirty-two million, eight hundred thirty-four thousand, five hundred sixty".