275145723720 has 768 divisors, whose sum is σ = 1114353676800. Its totient is φ = 59144878080.

The previous prime is 275145723709. The next prime is 275145723763. The reversal of 275145723720 is 27327541572.

275145723720 is a `hidden beast` number, since 2 + 7 + 5 + 1 + 4 + 572 + 3 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 493977682 + ... + 493978238.

It is an arithmetic number, because the mean of its divisors is an integer number (1450981350).

Almost surely, 2^275145723720 is an apocalyptic number.

275145723720 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 275145723720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557176838400).

275145723720 is an abundant number, since it is smaller than the sum of its proper divisors (839207953080).

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

275145723720 is a wasteful number, since it uses less digits than its factorization.

275145723720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 275145723720 in words is "two hundred seventy-five billion, one hundred forty-five million, seven hundred twenty-three thousand, seven hundred twenty".