275026824900 has 135 divisors (see below), whose sum is σ = 891681339549. Its totient is φ = 73327900320.

The previous prime is 275026824883. The next prime is 275026824901. The reversal of 275026824900 is 9428620572.

The square root of 275026824900 is 524430.

It is a perfect power (a square), and thus also a powerful number.

275026824900 is a `hidden beast` number, since 27 + 502 + 6 + 82 + 49 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99009656964 + 176017167936 = 314658^2 + 419544^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is not an unprimeable number, because it can be changed into a prime (275026824901) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 47195787 + ... + 47201613.

Almost surely, 2^275026824900 is an apocalyptic number.

275026824900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

275026824900 is the 524430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275026824900

275026824900 is an abundant number, since it is smaller than the sum of its proper divisors (616654514649).

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

275026824900 is an frugal number, since it uses more digits than its factorization.

275026824900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11680 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 275026824900 in words is "two hundred seventy-five billion, twenty-six million, eight hundred twenty-four thousand, nine hundred".