1352540246820 has 576 divisors, whose sum is σ = 4755922698240. Its totient is φ = 285441408000.

The previous prime is 1352540246807. The next prime is 1352540246831. The reversal of 1352540246820 is 286420452531.

It is a super-2 number, since 2×1352540246820² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 711487870 + ... + 711489770.

It is an arithmetic number, because the mean of its divisors is an integer number (8256810240).

Almost surely, 2^{1352540246820} is an apocalyptic number.

1352540246820 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 1352540246820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377961349120).

1352540246820 is an abundant number, since it is smaller than the sum of its proper divisors (3403382451420).

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

1352540246820 is a wasteful number, since it uses less digits than its factorization.

1352540246820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 1352540246820 in words is "one trillion, three hundred fifty-two billion, five hundred forty million, two hundred forty-six thousand, eight hundred twenty".