55527567040512 has 1344 divisors, whose sum is σ = 206165978726400. Its totient is φ = 14678141829120.

The previous prime is 55527567040511. The next prime is 55527567040549. The reversal of 55527567040512 is 21504076572555.

55527567040512 is a `hidden beast` number, since 5 + 5 + 5 + 2 + 7 + 56 + 70 + 4 + 0 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (55527567040511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8854655937 + ... + 8854662207.

It is an arithmetic number, because the mean of its divisors is an integer number (153397305600).

Almost surely, 2^{55527567040512} 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 55527567040512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103082989363200).

55527567040512 is an abundant number, since it is smaller than the sum of its proper divisors (150638411685888).

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

55527567040512 is a wasteful number, since it uses less digits than its factorization.

55527567040512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6382 (or 6345 counting only the distinct ones).

The product of its (nonzero) digits is 14700000, while the sum is 54.

The spelling of 55527567040512 in words is "fifty-five trillion, five hundred twenty-seven billion, five hundred sixty-seven million, forty thousand, five hundred twelve".