153868896000 has 1440 divisors, whose sum is σ = 625037212800. Its totient is φ = 37468569600.

The previous prime is 153868895987. The next prime is 153868896073. The reversal of 153868896000 is 698868351.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1728863956 + ... + 1728864044.

It is an arithmetic number, because the mean of its divisors is an integer number (434053620).

Almost surely, 2^153868896000 is an apocalyptic number.

153868896000 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 153868896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312518606400).

153868896000 is an abundant number, since it is smaller than the sum of its proper divisors (471168316800).

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

153868896000 is an equidigital number, since it uses as much as digits as its factorization.

153868896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 153868896000 in words is "one hundred fifty-three billion, eight hundred sixty-eight million, eight hundred ninety-six thousand".