153648960000 has 400 divisors, whose sum is σ = 529233091200. Its totient is φ = 39553024000.

The previous prime is 153648959977. The next prime is 153648960043. The reversal of 153648960000 is 69846351.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27837241 + ... + 27842759.

It is an arithmetic number, because the mean of its divisors is an integer number (1323082728).

Almost surely, 2^153648960000 is an apocalyptic number.

153648960000 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 153648960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264616545600).

153648960000 is an abundant number, since it is smaller than the sum of its proper divisors (375584131200).

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

153648960000 is an frugal number, since it uses more digits than its factorization.

153648960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5589 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 153648960000 in words is "one hundred fifty-three billion, six hundred forty-eight million, nine hundred sixty thousand".