153793830400 has 360 divisors, whose sum is σ = 449451858240. Its totient is φ = 51991511040.

The previous prime is 153793830383. The next prime is 153793830503. The reversal of 153793830400 is 4038397351.

It is a happy number.

153793830400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45783921 + ... + 45787279.

It is an arithmetic number, because the mean of its divisors is an integer number (1248477384).

Almost surely, 2^153793830400 is an apocalyptic number.

153793830400 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 153793830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224725929120).

153793830400 is an abundant number, since it is smaller than the sum of its proper divisors (295658027840).

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

153793830400 is an equidigital number, since it uses as much as digits as its factorization.

153793830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 153793830400 in words is "one hundred fifty-three billion, seven hundred ninety-three million, eight hundred thirty thousand, four hundred".