1352153088000 has 2880 divisors, whose sum is σ = 6251754862080. Its totient is φ = 286654464000.

The previous prime is 1352153087959. The next prime is 1352153088053. The reversal of 1352153088000 is 8803512531.

1352153088000 is a `hidden beast` number, since 1 + 3 + 521 + 53 + 0 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

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, 71165951991 + ... + 71165952009.

It is an arithmetic number, because the mean of its divisors is an integer number (2170748216).

Almost surely, 2^{1352153088000} is an apocalyptic number.

1352153088000 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 1352153088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125877431040).

1352153088000 is an abundant number, since it is smaller than the sum of its proper divisors (4899601774080).

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

1352153088000 is an equidigital number, since it uses as much as digits as its factorization.

1352153088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1352153088000 in words is "one trillion, three hundred fifty-two billion, one hundred fifty-three million, eighty-eight thousand".