152661086208000 has 1280 divisors, whose sum is σ = 587603259809280. Its totient is φ = 39393755136000.

The previous prime is 152661086207953. The next prime is 152661086208019. The reversal of 152661086208000 is 802680166251.

152661086208000 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 6 + 10 + 8 + 620 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10285048579 + ... + 10285063421.

It is an arithmetic number, because the mean of its divisors is an integer number (459065046726).

Almost surely, 2^{152661086208000} is an apocalyptic number.

152661086208000 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 152661086208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293801629904640).

152661086208000 is an abundant number, since it is smaller than the sum of its proper divisors (434942173601280).

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

152661086208000 is an frugal number, since it uses more digits than its factorization.

152661086208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14931 (or 14884 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 152661086208000 in words is "one hundred fifty-two trillion, six hundred sixty-one billion, eighty-six million, two hundred eight thousand".