55361765760 has 512 divisors, whose sum is σ = 205775354880. Its totient is φ = 12400066560.

The previous prime is 55361765747. The next prime is 55361765761. The reversal of 55361765760 is 6756716355.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55361765761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197016820 + ... + 197017100.

It is an arithmetic number, because the mean of its divisors is an integer number (401904990).

Almost surely, 2^55361765760 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 55361765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102887677440).

55361765760 is an abundant number, since it is smaller than the sum of its proper divisors (150413589120).

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

55361765760 is a wasteful number, since it uses less digits than its factorization.

55361765760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 51.

It can be divided in two parts, 55361 and 765760, that added together give a triangular number (821121 = T₁₂₈₁).

The spelling of 55361765760 in words is "fifty-five billion, three hundred sixty-one million, seven hundred sixty-five thousand, seven hundred sixty".