275432933952 has 672 divisors, whose sum is σ = 950595609600. Its totient is φ = 78195456000.

The previous prime is 275432933929. The next prime is 275432933953. The reversal of 275432933952 is 259339234572.

275432933952 is a `hidden beast` number, since 2 + 7 + 543 + 2 + 9 + 3 + 3 + 95 + 2 = 666.

It is a super-2 number, since 2×275432933952² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (275432933953) 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, 328286749 + ... + 328287587.

It is an arithmetic number, because the mean of its divisors is an integer number (1414576800).

Almost surely, 2^275432933952 is an apocalyptic number.

275432933952 is a gapful number since it is divisible by the number (22) 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 275432933952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475297804800).

275432933952 is an abundant number, since it is smaller than the sum of its proper divisors (675162675648).

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

275432933952 is a wasteful number, since it uses less digits than its factorization.

275432933952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 975 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 54.

The spelling of 275432933952 in words is "two hundred seventy-five billion, four hundred thirty-two million, nine hundred thirty-three thousand, nine hundred fifty-two".