275633552460 has 288 divisors, whose sum is σ = 954708431040. Its totient is φ = 59038973952.

The previous prime is 275633552459. The next prime is 275633552461. The reversal of 275633552460 is 64255336572.

It is an interprime number because it is at equal distance from previous prime (275633552459) and next prime (275633552461).

It is not an unprimeable number, because it can be changed into a prime (275633552461) 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, 11633506 + ... + 11657174.

It is an arithmetic number, because the mean of its divisors is an integer number (3314959830).

Almost surely, 2^275633552460 is an apocalyptic number.

275633552460 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 275633552460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477354215520).

275633552460 is an abundant number, since it is smaller than the sum of its proper divisors (679074878580).

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

275633552460 is a wasteful number, since it uses less digits than its factorization.

275633552460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23945 (or 23936 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 48.

The spelling of 275633552460 in words is "two hundred seventy-five billion, six hundred thirty-three million, five hundred fifty-two thousand, four hundred sixty".