55839580416 has 189 divisors, whose sum is σ = 167421178911. Its totient is φ = 18579165696.

The previous prime is 55839580411. The next prime is 55839580421. The reversal of 55839580416 is 61408593855.

The square root of 55839580416 is 236304.

It is a perfect power (a square), and thus also a powerful number.

55839580416 is a `hidden beast` number, since 5 + 58 + 3 + 9 + 580 + 4 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (55839580411) and next prime (55839580421).

It is a super-3 number, since 3×55839580416³ (a number of 33 digits) contains 333 as substring.

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 (55839580411) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 102083055 + ... + 102083601.

Almost surely, 2^55839580416 is an apocalyptic number.

55839580416 is the 236304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55839580416

55839580416 is an abundant number, since it is smaller than the sum of its proper divisors (111581598495).

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

55839580416 is an frugal number, since it uses more digits than its factorization.

55839580416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 55839580416 in words is "fifty-five billion, eight hundred thirty-nine million, five hundred eighty thousand, four hundred sixteen".