1352153214720 has 864 divisors, whose sum is σ = 5848526960640. Its totient is φ = 280204738560.

The previous prime is 1352153214719. The next prime is 1352153214733. The reversal of 1352153214720 is 274123512531.

1352153214720 is a `hidden beast` number, since 1 + 3 + 52 + 1 + 532 + 1 + 4 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 362797497 + ... + 362801223.

Almost surely, 2^{1352153214720} is an apocalyptic number.

1352153214720 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 1352153214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924263480320).

1352153214720 is an abundant number, since it is smaller than the sum of its proper divisors (4496373745920).

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

1352153214720 is a wasteful number, since it uses less digits than its factorization.

1352153214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 1352153214720 in words is "one trillion, three hundred fifty-two billion, one hundred fifty-three million, two hundred fourteen thousand, seven hundred twenty".