153399966773760 has 1280 divisors, whose sum is σ = 680632916705280. Its totient is φ = 31935749160960.

The previous prime is 153399966773741. The next prime is 153399966773761. The reversal of 153399966773760 is 67377669993351.

153399966773760 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 99 + 96 + 6 + 77 + 376 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 153399966773760.

It is not an unprimeable number, because it can be changed into a prime (153399966773761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254682877 + ... + 255284483.

It is an arithmetic number, because the mean of its divisors is an integer number (531744466176).

Almost surely, 2^{153399966773760} is an apocalyptic number.

153399966773760 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 153399966773760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340316458352640).

153399966773760 is an abundant number, since it is smaller than the sum of its proper divisors (527232949931520).

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

153399966773760 is a wasteful number, since it uses less digits than its factorization.

153399966773760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601694 (or 601672 counting only the distinct ones).

The product of its (nonzero) digits is 7291370520, while the sum is 81.

The spelling of 153399966773760 in words is "one hundred fifty-three trillion, three hundred ninety-nine billion, nine hundred sixty-six million, seven hundred seventy-three thousand, seven hundred sixty".