12265493909760 has 3888 divisors, whose sum is σ = 57674060458560. Its totient is φ = 2391175987200.

The previous prime is 12265493909749. The next prime is 12265493909803. The reversal of 12265493909760 is 6790939456221.

12265493909760 is a `hidden beast` number, since 1 + 2 + 2 + 65 + 49 + 390 + 97 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 121440533710 + ... + 121440533810.

Almost surely, 2^{12265493909760} is an apocalyptic number.

12265493909760 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 12265493909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28837030229280).

12265493909760 is an abundant number, since it is smaller than the sum of its proper divisors (45408566548800).

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

12265493909760 is a wasteful number, since it uses less digits than its factorization.

12265493909760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 12265493909760 in words is "twelve trillion, two hundred sixty-five billion, four hundred ninety-three million, nine hundred nine thousand, seven hundred sixty".