55006516512 has 144 divisors (see below), whose sum is σ = 157948382592. Its totient is φ = 18157816320.

The previous prime is 55006516507. The next prime is 55006516549. The reversal of 55006516512 is 21561560055.

55006516512 is a `hidden beast` number, since 550 + 0 + 6 + 51 + 6 + 51 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×55006516512² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12876937 + ... + 12881207.

It is an arithmetic number, because the mean of its divisors is an integer number (1096863768).

Almost surely, 2^55006516512 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 55006516512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78974191296).

55006516512 is an abundant number, since it is smaller than the sum of its proper divisors (102941866080).

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

55006516512 is a wasteful number, since it uses less digits than its factorization.

55006516512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4711 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 55006516512 in words is "fifty-five billion, six million, five hundred sixteen thousand, five hundred twelve".