1225759260096 has 504 divisors, whose sum is σ = 4339865514816. Its totient is φ = 328670576640.

The previous prime is 1225759260071. The next prime is 1225759260107. The reversal of 1225759260096 is 6900629575221.

1225759260096 is a `hidden beast` number, since 1 + 2 + 2 + 575 + 9 + 2 + 60 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1225759260096² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 176086056 + ... + 176093016.

Almost surely, 2^{1225759260096} is an apocalyptic number.

1225759260096 is a gapful number since it is divisible by the number (16) 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 1225759260096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169932757408).

1225759260096 is an abundant number, since it is smaller than the sum of its proper divisors (3114106254720).

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

1225759260096 is a wasteful number, since it uses less digits than its factorization.

1225759260096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7377 (or 7357 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 1225759260096 in words is "one trillion, two hundred twenty-five billion, seven hundred fifty-nine million, two hundred sixty thousand, ninety-six".