285111152851140 has 2880 divisors, whose sum is σ = 1222381639987200. Its totient is φ = 53890479360000.

The previous prime is 285111152851097. The next prime is 285111152851141. The reversal of 285111152851140 is 41158251111582.

285111152851140 is a `hidden beast` number, since 2 + 8 + 5 + 1 + 1 + 1 + 1 + 528 + 5 + 114 + 0 = 666.

It is a super-2 number, since 2×285111152851140² (a number of 30 digits) contains 22 as substring.

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 (285111152851141) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 343921776246 + ... + 343921777074.

It is an arithmetic number, because the mean of its divisors is an integer number (424438069440).

Almost surely, 2^{285111152851140} is an apocalyptic number.

285111152851140 is a gapful number since it is divisible by the number (20) 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 285111152851140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611190819993600).

285111152851140 is an abundant number, since it is smaller than the sum of its proper divisors (937270487136060).

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

285111152851140 is a wasteful number, since it uses less digits than its factorization.

285111152851140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 45.

The spelling of 285111152851140 in words is "two hundred eighty-five trillion, one hundred eleven billion, one hundred fifty-two million, eight hundred fifty-one thousand, one hundred forty".