153884055960 has 448 divisors, whose sum is σ = 550997913600. Its totient is φ = 38569862016.

The previous prime is 153884055931. The next prime is 153884055961. The reversal of 153884055960 is 69550488351.

153884055960 is a `hidden beast` number, since 1 + 5 + 3 + 8 + 8 + 40 + 5 + 596 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 153884055897 and 153884055906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153884055961) 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 111 ways as a sum of consecutive naturals, for example, 1211685417 + ... + 1211685543.

Almost surely, 2^153884055960 is an apocalyptic number.

153884055960 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 153884055960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275498956800).

153884055960 is an abundant number, since it is smaller than the sum of its proper divisors (397113857640).

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

153884055960 is an frugal number, since it uses more digits than its factorization.

153884055960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 153884055960 in words is "one hundred fifty-three billion, eight hundred eighty-four million, fifty-five thousand, nine hundred sixty".