153990028800 has 240 divisors, whose sum is σ = 565219530480. Its totient is φ = 41063915520.

The previous prime is 153990028663. The next prime is 153990028837. The reversal of 153990028800 is 8820099351.

It is a happy number.

153990028800 is a `hidden beast` number, since 1 + 539 + 90 + 0 + 28 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122814 + ... + 568386.

It is an arithmetic number, because the mean of its divisors is an integer number (2355081377).

Almost surely, 2^153990028800 is an apocalyptic number.

153990028800 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 153990028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282609765240).

153990028800 is an abundant number, since it is smaller than the sum of its proper divisors (411229501680).

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

153990028800 is an equidigital number, since it uses as much as digits as its factorization.

153990028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445610 (or 445583 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 153990028800 in words is "one hundred fifty-three billion, nine hundred ninety million, twenty-eight thousand, eight hundred".