225766075077000 has 192 divisors, whose sum is σ = 780835598674560. Its totient is φ = 58804186896000.

The previous prime is 225766075076987. The next prime is 225766075077013. The reversal of 225766075077000 is 770570667522.

It is a happy number.

225766075077000 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 6 + 60 + 7 + 507 + 70 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (225766075076987) and next prime (225766075077013).

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, 291300436 + ... + 292074435.

It is an arithmetic number, because the mean of its divisors is an integer number (4066852076430).

Almost surely, 2^{225766075077000} is an apocalyptic number.

225766075077000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225766075077000 is an abundant number, since it is smaller than the sum of its proper divisors (555069523597560).

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

225766075077000 is a wasteful number, since it uses less digits than its factorization.

225766075077000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583374941 (or 583374924 counting only the distinct ones).

The product of its (nonzero) digits is 8643600, while the sum is 54.

The spelling of 225766075077000 in words is "two hundred twenty-five trillion, seven hundred sixty-six billion, seventy-five million, seventy-seven thousand".