55777916215296 has 672 divisors, whose sum is σ = 177969920899680. Its totient is φ = 16831595151360.

The previous prime is 55777916215213. The next prime is 55777916215297. The reversal of 55777916215296 is 69251261977755.

55777916215296 is a `hidden beast` number, since 5 + 5 + 7 + 7 + 7 + 91 + 6 + 2 + 1 + 529 + 6 = 666.

It is a super-2 number, since 2×55777916215296² (a number of 28 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (55777916215297) 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, 26397498336 + ... + 26397500448.

It is an arithmetic number, because the mean of its divisors is an integer number (264836191815).

Almost surely, 2^{55777916215296} 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 55777916215296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88984960449840).

55777916215296 is an abundant number, since it is smaller than the sum of its proper divisors (122192004684384).

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

55777916215296 is a wasteful number, since it uses less digits than its factorization.

55777916215296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2398 counting only the distinct ones).

The product of its digits is 500094000, while the sum is 72.

The spelling of 55777916215296 in words is "fifty-five trillion, seven hundred seventy-seven billion, nine hundred sixteen million, two hundred fifteen thousand, two hundred ninety-six".