1255239659520 has 2080 divisors, whose sum is σ = 5809274228736. Its totient is φ = 251618918400.

The previous prime is 1255239659507. The next prime is 1255239659543. The reversal of 1255239659520 is 259569325521.

It is a happy number.

1255239659520 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 23 + 9 + 6 + 595 + 20 = 666.

It is a super-3 number, since 3×1255239659520³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3959746402 + ... + 3959746718.

Almost surely, 2^{1255239659520} is an apocalyptic number.

1255239659520 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 1255239659520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904637114368).

1255239659520 is an abundant number, since it is smaller than the sum of its proper divisors (4554034569216).

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

1255239659520 is a wasteful number, since it uses less digits than its factorization.

1255239659520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 1255239659520 in words is "one trillion, two hundred fifty-five billion, two hundred thirty-nine million, six hundred fifty-nine thousand, five hundred twenty".