153919369968 has 480 divisors, whose sum is σ = 534340800000. Its totient is φ = 37724424192.

The previous prime is 153919369963. The next prime is 153919369997. The reversal of 153919369968 is 869963919351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153919369963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30787533 + ... + 30792531.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210000).

Almost surely, 2^153919369968 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 153919369968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267170400000).

153919369968 is an abundant number, since it is smaller than the sum of its proper divisors (380421430032).

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

153919369968 is a wasteful number, since it uses less digits than its factorization.

153919369968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5096 counting only the distinct ones).

The product of its digits is 85030560, while the sum is 69.

The spelling of 153919369968 in words is "one hundred fifty-three billion, nine hundred nineteen million, three hundred sixty-nine thousand, nine hundred sixty-eight".