153264306620556 has 144 divisors (see below), whose sum is σ = 424957879513440. Its totient is φ = 46358657587200.

The previous prime is 153264306620531. The next prime is 153264306620587. The reversal of 153264306620556 is 655026603462351.

It is a happy number.

153264306620556 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 6 + 4 + 3 + 0 + 6 + 620 + 5 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6281875 + ... + 18600821.

It is an arithmetic number, because the mean of its divisors is an integer number (2951096385510).

Almost surely, 2^{153264306620556} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153264306620556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212478939756720).

153264306620556 is an abundant number, since it is smaller than the sum of its proper divisors (271693572892884).

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

153264306620556 is a wasteful number, since it uses less digits than its factorization.

153264306620556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12319704 (or 12319699 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 153264306620556 in words is "one hundred fifty-three trillion, two hundred sixty-four billion, three hundred six million, six hundred twenty thousand, five hundred fifty-six".