285101350560 has 1920 divisors, whose sum is σ = 1254026188800. Its totient is φ = 60555755520.

The previous prime is 285101350517. The next prime is 285101350603. The reversal of 285101350560 is 65053101582.

It is a happy number.

285101350560 is a `hidden beast` number, since 2 + 8 + 510 + 135 + 0 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (285101350517) and next prime (285101350603).

It is a super-2 number, since 2×285101350560² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 9196817745 + ... + 9196817775.

It is an arithmetic number, because the mean of its divisors is an integer number (653138640).

Almost surely, 2^285101350560 is an apocalyptic number.

285101350560 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 285101350560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627013094400).

285101350560 is an abundant number, since it is smaller than the sum of its proper divisors (968924838240).

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

285101350560 is a wasteful number, since it uses less digits than its factorization.

285101350560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 285101350560 in words is "two hundred eighty-five billion, one hundred one million, three hundred fifty thousand, five hundred sixty".