1255348769220 has 384 divisors, whose sum is σ = 4885617300480. Its totient is φ = 260522127360.

The previous prime is 1255348769219. The next prime is 1255348769221. The reversal of 1255348769220 is 229678435521.

1255348769220 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 348 + 76 + 9 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (1255348769219) and next prime (1255348769221).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1255348769221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2788144 + ... + 3206936.

It is an arithmetic number, because the mean of its divisors is an integer number (12722961720).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1255348769220 = 2510697538440, but 3⋅1255348769220 = 3766046307660 is not.

Almost surely, 2^{1255348769220} is an apocalyptic number.

1255348769220 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 1255348769220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442808650240).

1255348769220 is an abundant number, since it is smaller than the sum of its proper divisors (3630268531260).

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

1255348769220 is a wasteful number, since it uses less digits than its factorization.

1255348769220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418892 (or 418884 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 1255348769220 in words is "one trillion, two hundred fifty-five billion, three hundred forty-eight million, seven hundred sixty-nine thousand, two hundred twenty".