55280261134728 has 640 divisors, whose sum is σ = 182086007685120. Its totient is φ = 15341896212480.

The previous prime is 55280261134727. The next prime is 55280261134729. The reversal of 55280261134728 is 82743116208255.

It is a happy number.

55280261134728 is a `hidden beast` number, since 5 + 5 + 280 + 2 + 6 + 11 + 347 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (55280261134727) and next prime (55280261134729).

It is a super-2 number, since 2×55280261134728² (a number of 28 digits) contains 22 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 (55280261134727) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20696464833 + ... + 20696467503.

It is an arithmetic number, because the mean of its divisors is an integer number (284509387008).

Almost surely, 2^{55280261134728} 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 55280261134728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91043003842560).

55280261134728 is an abundant number, since it is smaller than the sum of its proper divisors (126805746550392).

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

55280261134728 is a wasteful number, since it uses less digits than its factorization.

55280261134728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 55280261134728 in words is "fifty-five trillion, two hundred eighty billion, two hundred sixty-one million, one hundred thirty-four thousand, seven hundred twenty-eight".