55802033280 has 768 divisors, whose sum is σ = 241964236800. Its totient is φ = 11554430976.

The previous prime is 55802033267. The next prime is 55802033281. The reversal of 55802033280 is 8233020855.

55802033280 is a `hidden beast` number, since 5 + 580 + 20 + 33 + 28 + 0 = 666.

55802033280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55802033280² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55802033281) 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, 17618257 + ... + 17621423.

It is an arithmetic number, because the mean of its divisors is an integer number (315057600).

Almost surely, 2^55802033280 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 55802033280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120982118400).

55802033280 is an abundant number, since it is smaller than the sum of its proper divisors (186162203520).

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

55802033280 is a wasteful number, since it uses less digits than its factorization.

55802033280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 55802033280 in words is "fifty-five billion, eight hundred two million, thirty-three thousand, two hundred eighty".