1352753575992 has 1024 divisors, whose sum is σ = 4834516377600. Its totient is φ = 345382797312.

The previous prime is 1352753575969. The next prime is 1352753576011. The reversal of 1352753575992 is 2995753572531.

1352753575992 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 7 + 5 + 35 + 7 + 599 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11971270528 + ... + 11971270640.

It is an arithmetic number, because the mean of its divisors is an integer number (4721207400).

Almost surely, 2^{1352753575992} is an apocalyptic number.

1352753575992 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 1352753575992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417258188800).

1352753575992 is an abundant number, since it is smaller than the sum of its proper divisors (3481762801608).

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

1352753575992 is a wasteful number, since it uses less digits than its factorization.

1352753575992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 314 counting only the distinct ones).

The product of its digits is 89302500, while the sum is 63.

The spelling of 1352753575992 in words is "one trillion, three hundred fifty-two billion, seven hundred fifty-three million, five hundred seventy-five thousand, nine hundred ninety-two".