275440005120 has 416 divisors, whose sum is σ = 1023809472000. Its totient is φ = 61919723520.

The previous prime is 275440005107. The next prime is 275440005133. The reversal of 275440005120 is 21500044572.

It is an interprime number because it is at equal distance from previous prime (275440005107) and next prime (275440005133).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 26229631 + ... + 26240129.

Almost surely, 2^275440005120 is an apocalyptic number.

275440005120 is a gapful number since it is divisible by the number (20) 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 275440005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511904736000).

275440005120 is an abundant number, since it is smaller than the sum of its proper divisors (748369466880).

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

275440005120 is a wasteful number, since it uses less digits than its factorization.

275440005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10599 (or 10577 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

Adding to 275440005120 its reverse (21500044572), we get a palindrome (296940049692).

The spelling of 275440005120 in words is "two hundred seventy-five billion, four hundred forty million, five thousand, one hundred twenty".