275949527040 has 672 divisors, whose sum is σ = 1105187219136. Its totient is φ = 62946017280.

The previous prime is 275949527027. The next prime is 275949527053. The reversal of 275949527040 is 40725949572.

275949527040 is a `hidden beast` number, since 2 + 7 + 594 + 9 + 5 + 2 + 7 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (275949527027) and next prime (275949527053).

It is a super-2 number, since 2×275949527040² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68933679 + ... + 68937681.

It is an arithmetic number, because the mean of its divisors is an integer number (1644623838).

Almost surely, 2^275949527040 is an apocalyptic number.

275949527040 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 275949527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552593609568).

275949527040 is an abundant number, since it is smaller than the sum of its proper divisors (829237692096).

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

275949527040 is a wasteful number, since it uses less digits than its factorization.

275949527040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 275949527040 in words is "two hundred seventy-five billion, nine hundred forty-nine million, five hundred twenty-seven thousand, forty".