153630038949288 has 512 divisors, whose sum is σ = 449048680243200. Its totient is φ = 43285719859200.

The previous prime is 153630038949263. The next prime is 153630038949403. The reversal of 153630038949288 is 882949830036351.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140558132070 + ... + 140558133162.

It is an arithmetic number, because the mean of its divisors is an integer number (877048203600).

Almost surely, 2^{153630038949288} 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 153630038949288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224524340121600).

153630038949288 is an abundant number, since it is smaller than the sum of its proper divisors (295418641293912).

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

153630038949288 is a wasteful number, since it uses less digits than its factorization.

153630038949288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 69.

The spelling of 153630038949288 in words is "one hundred fifty-three trillion, six hundred thirty billion, thirty-eight million, nine hundred forty-nine thousand, two hundred eighty-eight".