275731472026560 has 896 divisors, whose sum is σ = 1082846607114240. Its totient is φ = 58618603929600.

The previous prime is 275731472026523. The next prime is 275731472026597. The reversal of 275731472026560 is 65620274137572.

It is an interprime number because it is at equal distance from previous prime (275731472026523) and next prime (275731472026597).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 275731472026560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142092604 + ... + 144020036.

Almost surely, 2^{275731472026560} is an apocalyptic number.

275731472026560 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 275731472026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541423303557120).

275731472026560 is an abundant number, since it is smaller than the sum of its proper divisors (807115135087680).

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

275731472026560 is a wasteful number, since it uses less digits than its factorization.

275731472026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927537 (or 1927527 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 57.

The spelling of 275731472026560 in words is "two hundred seventy-five trillion, seven hundred thirty-one billion, four hundred seventy-two million, twenty-six thousand, five hundred sixty".