254659711152 has 960 divisors, whose sum is σ = 903565279232. Its totient is φ = 60354201600.

The previous prime is 254659711123. The next prime is 254659711157. The reversal of 254659711152 is 251117956452.

254659711152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (254659711157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2005194513 + ... + 2005194639.

Almost surely, 2^254659711152 is an apocalyptic number.

254659711152 is a gapful number since it is divisible by the number (22) 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 254659711152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451782639616).

254659711152 is an abundant number, since it is smaller than the sum of its proper divisors (648905568080).

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

254659711152 is a wasteful number, since it uses less digits than its factorization.

254659711152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 261 counting only the distinct ones).

The product of its digits is 756000, while the sum is 48.

The spelling of 254659711152 in words is "two hundred fifty-four billion, six hundred fifty-nine million, seven hundred eleven thousand, one hundred fifty-two".