12895753789440 has 896 divisors, whose sum is σ = 48738476096640. Its totient is φ = 3223742054400.

The previous prime is 12895753789439. The next prime is 12895753789453. The reversal of 12895753789440 is 4498735759821.

12895753789440 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 5 + 7 + 537 + 89 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×12895753789440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5282978620 + ... + 5282981060.

Almost surely, 2^{12895753789440} is an apocalyptic number.

12895753789440 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 12895753789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24369238048320).

12895753789440 is an abundant number, since it is smaller than the sum of its proper divisors (35842722307200).

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

12895753789440 is a wasteful number, since it uses less digits than its factorization.

12895753789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 12895753789440 in words is "twelve trillion, eight hundred ninety-five billion, seven hundred fifty-three million, seven hundred eighty-nine thousand, four hundred forty".