225764921088 has 720 divisors, whose sum is σ = 798781333504. Its totient is φ = 62078607360.

The previous prime is 225764921009. The next prime is 225764921189. The reversal of 225764921088 is 880129467522.

225764921088 is a `hidden beast` number, since 2 + 2 + 5 + 76 + 492 + 1 + 0 + 88 = 666.

225764921088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 682069083 + ... + 682069413.

Almost surely, 2^225764921088 is an apocalyptic number.

225764921088 is a gapful number since it is divisible by the number (28) 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 225764921088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399390666752).

225764921088 is an abundant number, since it is smaller than the sum of its proper divisors (573016412416).

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

225764921088 is a wasteful number, since it uses less digits than its factorization.

225764921088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 225764921088 in words is "two hundred twenty-five billion, seven hundred sixty-four million, nine hundred twenty-one thousand, eighty-eight".