1255126216410 has 192 divisors, whose sum is σ = 3599466159744. Its totient is φ = 300904243200.

The previous prime is 1255126216397. The next prime is 1255126216423. The reversal of 1255126216410 is 146126215521.

1255126216410 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 1 + 2 + 6 + 2 + 1 + 641 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1255126216397) and next prime (1255126216423).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147017662 + ... + 147026198.

It is an arithmetic number, because the mean of its divisors is an integer number (18747219582).

Almost surely, 2^{1255126216410} is an apocalyptic number.

1255126216410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255126216410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799733079872).

1255126216410 is an abundant number, since it is smaller than the sum of its proper divisors (2344339943334).

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

1255126216410 is a wasteful number, since it uses less digits than its factorization.

1255126216410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10189 (or 10186 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1255126216410 in words is "one trillion, two hundred fifty-five billion, one hundred twenty-six million, two hundred sixteen thousand, four hundred ten".