280375120122552 has 3072 divisors, whose sum is σ = 1118214429696000. Its totient is φ = 61277169254400.

The previous prime is 280375120122547. The next prime is 280375120122577. The reversal of 280375120122552 is 255221021573082.

It is a happy number.

280375120122552 is a `hidden beast` number, since 2 + 8 + 0 + 3 + 7 + 51 + 20 + 1 + 22 + 552 = 666.

It is a super-2 number, since 2×280375120122552² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 280375120122498 and 280375120122507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 264255532102 + ... + 264255533162.

It is an arithmetic number, because the mean of its divisors is an integer number (364002093000).

Almost surely, 2^{280375120122552} 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 280375120122552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559107214848000).

280375120122552 is an abundant number, since it is smaller than the sum of its proper divisors (837839309573448).

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

280375120122552 is a wasteful number, since it uses less digits than its factorization.

280375120122552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 280375120122552 in words is "two hundred eighty trillion, three hundred seventy-five billion, one hundred twenty million, one hundred twenty-two thousand, five hundred fifty-two".