1350582803352 has 192 divisors, whose sum is σ = 3911814466560. Its totient is φ = 419480755200.

The previous prime is 1350582803309. The next prime is 1350582803357. The reversal of 1350582803352 is 2533082850531.

It is a happy number.

1350582803352 is a `hidden beast` number, since 1 + 35 + 0 + 5 + 8 + 280 + 335 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1350582803298 and 1350582803307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350582803357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69098493 + ... + 69118035.

It is an arithmetic number, because the mean of its divisors is an integer number (20374033680).

Almost surely, 2^{1350582803352} is an apocalyptic number.

1350582803352 is a gapful number since it is divisible by the number (12) 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 1350582803352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955907233280).

1350582803352 is an abundant number, since it is smaller than the sum of its proper divisors (2561231663208).

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

1350582803352 is a wasteful number, since it uses less digits than its factorization.

1350582803352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20134 (or 20127 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 1350582803352 in words is "one trillion, three hundred fifty billion, five hundred eighty-two million, eight hundred three thousand, three hundred fifty-two".