55741606588416 has 416 divisors, whose sum is σ = 172867162636800. Its totient is φ = 15644479979520.

The previous prime is 55741606588399. The next prime is 55741606588433. The reversal of 55741606588416 is 61488560614755.

It is an interprime number because it is at equal distance from previous prime (55741606588399) and next prime (55741606588433).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8470078246 + ... + 8470084826.

Almost surely, 2^{55741606588416} is an apocalyptic number.

55741606588416 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 55741606588416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86433581318400).

55741606588416 is an abundant number, since it is smaller than the sum of its proper divisors (117125556048384).

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

55741606588416 is a wasteful number, since it uses less digits than its factorization.

55741606588416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8343 (or 8321 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 66.

The spelling of 55741606588416 in words is "fifty-five trillion, seven hundred forty-one billion, six hundred six million, five hundred eighty-eight thousand, four hundred sixteen".