55261879016832 has 384 divisors, whose sum is σ = 169163247052800. Its totient is φ = 17256167424000.

The previous prime is 55261879016831. The next prime is 55261879016837. The reversal of 55261879016832 is 23861097816255.

55261879016832 is a `hidden beast` number, since 5 + 5 + 2 + 618 + 7 + 9 + 0 + 1 + 6 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 55261879016832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55261879016831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4515222169 + ... + 4515234407.

It is an arithmetic number, because the mean of its divisors is an integer number (440529289200).

Almost surely, 2^{55261879016832} 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 55261879016832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84581623526400).

55261879016832 is an abundant number, since it is smaller than the sum of its proper divisors (113901368035968).

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

55261879016832 is a wasteful number, since it uses less digits than its factorization.

55261879016832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13334 (or 13319 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 55261879016832 in words is "fifty-five trillion, two hundred sixty-one billion, eight hundred seventy-nine million, sixteen thousand, eight hundred thirty-two".