1285213759830 has 768 divisors, whose sum is σ = 4609037002752. Its totient is φ = 239874048000.

The previous prime is 1285213759801. The next prime is 1285213759831. The reversal of 1285213759830 is 389573125821.

1285213759830 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 2 + 13 + 7 + 598 + 30 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285213759831) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 533061325 + ... + 533063735.

It is an arithmetic number, because the mean of its divisors is an integer number (6001350264).

Almost surely, 2^{1285213759830} is an apocalyptic number.

1285213759830 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 1285213759830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304518501376).

1285213759830 is an abundant number, since it is smaller than the sum of its proper divisors (3323823242922).

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

1285213759830 is a wasteful number, since it uses less digits than its factorization.

1285213759830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1285213759830 in words is "one trillion, two hundred eighty-five billion, two hundred thirteen million, seven hundred fifty-nine thousand, eight hundred thirty".