55916825158656 has 1056 divisors, whose sum is σ = 215370580638720. Its totient is φ = 13533673881600.

The previous prime is 55916825158643. The next prime is 55916825158657. The reversal of 55916825158656 is 65685152861955.

55916825158656 is a `hidden beast` number, since 5 + 5 + 9 + 16 + 8 + 25 + 1 + 586 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (55916825158657) 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, 822429495 + ... + 822497481.

Almost surely, 2^{55916825158656} is an apocalyptic number.

55916825158656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55916825158656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107685290319360).

55916825158656 is an abundant number, since it is smaller than the sum of its proper divisors (159453755480064).

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

55916825158656 is a wasteful number, since it uses less digits than its factorization.

55916825158656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68111 (or 68090 counting only the distinct ones).

The product of its digits is 777600000, while the sum is 72.

The spelling of 55916825158656 in words is "fifty-five trillion, nine hundred sixteen billion, eight hundred twenty-five million, one hundred fifty-eight thousand, six hundred fifty-six".