12257765087040 has 1792 divisors, whose sum is σ = 51064338816000. Its totient is φ = 2734895923200.

The previous prime is 12257765087027. The next prime is 12257765087053. The reversal of 12257765087040 is 4078056775221.

12257765087040 is a `hidden beast` number, since 1 + 2 + 2 + 577 + 65 + 0 + 8 + 7 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12257765087027) and next prime (12257765087053).

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 255 ways as a sum of consecutive naturals, for example, 27300144736 + ... + 27300145184.

Almost surely, 2^{12257765087040} is an apocalyptic number.

12257765087040 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 12257765087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25532169408000).

12257765087040 is an abundant number, since it is smaller than the sum of its proper divisors (38806573728960).

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

12257765087040 is a wasteful number, since it uses less digits than its factorization.

12257765087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 12257765087040 in words is "twelve trillion, two hundred fifty-seven billion, seven hundred sixty-five million, eighty-seven thousand, forty".