1225895045760 has 1152 divisors, whose sum is σ = 5688204575040. Its totient is φ = 239736913920.

The previous prime is 1225895045737. The next prime is 1225895045761. The reversal of 1225895045760 is 675405985221.

1225895045760 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 89 + 50 + 457 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 1225895045697 and 1225895045706.

It is not an unprimeable number, because it can be changed into a prime (1225895045761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52767267 + ... + 52790493.

Almost surely, 2^{1225895045760} is an apocalyptic number.

1225895045760 is a gapful number since it is divisible by the number (10) 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 1225895045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844102287520).

1225895045760 is an abundant number, since it is smaller than the sum of its proper divisors (4462309529280).

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

1225895045760 is a wasteful number, since it uses less digits than its factorization.

1225895045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23294 (or 23272 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 1225895045760 in words is "one trillion, two hundred twenty-five billion, eight hundred ninety-five million, forty-five thousand, seven hundred sixty".