153821144880 has 800 divisors, whose sum is σ = 625862692224. Its totient is φ = 34661302272.

The previous prime is 153821144857. The next prime is 153821144887. The reversal of 153821144880 is 88441128351.

153821144880 is a `hidden beast` number, since 1 + 53 + 8 + 2 + 114 + 488 + 0 = 666.

It is a super-5 number, since 5×153821144880⁵ (a number of 57 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (153821144887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52985509 + ... + 52988411.

Almost surely, 2^153821144880 is an apocalyptic number.

153821144880 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 153821144880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312931346112).

153821144880 is an abundant number, since it is smaller than the sum of its proper divisors (472041547344).

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

153821144880 is a wasteful number, since it uses less digits than its factorization.

153821144880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 153821144880 in words is "one hundred fifty-three billion, eight hundred twenty-one million, one hundred forty-four thousand, eight hundred eighty".