275140265400 has 2880 divisors, whose sum is σ = 1382941486080. Its totient is φ = 48932812800.

The previous prime is 275140265399. The next prime is 275140265437. The reversal of 275140265400 is 4562041572.

It is a happy number.

275140265400 is a `hidden beast` number, since 2 + 7 + 51 + 40 + 26 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 5854048177 + ... + 5854048223.

It is an arithmetic number, because the mean of its divisors is an integer number (480188016).

Almost surely, 2^275140265400 is an apocalyptic number.

275140265400 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 275140265400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691470743040).

275140265400 is an abundant number, since it is smaller than the sum of its proper divisors (1107801220680).

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

275140265400 is a wasteful number, since it uses less digits than its factorization.

275140265400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 275140265400 in words is "two hundred seventy-five billion, one hundred forty million, two hundred sixty-five thousand, four hundred".