153249594960 has 640 divisors, whose sum is σ = 613441880064. Its totient is φ = 30726881280.

The previous prime is 153249594937. The next prime is 153249594961. The reversal of 153249594960 is 69495942351.

153249594960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 153249594960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153249594961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63403672 + ... + 63406088.

Almost surely, 2^153249594960 is an apocalyptic number.

153249594960 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 153249594960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306720940032).

153249594960 is an abundant number, since it is smaller than the sum of its proper divisors (460192285104).

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

153249594960 is a wasteful number, since it uses less digits than its factorization.

153249594960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 57.

The spelling of 153249594960 in words is "one hundred fifty-three billion, two hundred forty-nine million, five hundred ninety-four thousand, nine hundred sixty".