285616493760 has 448 divisors, whose sum is σ = 1031747512320. Its totient is φ = 66361835520.

The previous prime is 285616493731. The next prime is 285616493807. The reversal of 285616493760 is 67394616582.

It is a Cunningham number, because it is equal to 534431²-1.

It is a super-2 number, since 2×285616493760² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 285616493760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69474105 + ... + 69478215.

It is an arithmetic number, because the mean of its divisors is an integer number (2303007840).

It is a 1-persistent number, because it is pandigital, but 2⋅285616493760 = 571232987520 is not.

Almost surely, 2^285616493760 is an apocalyptic number.

285616493760 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 285616493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515873756160).

285616493760 is an abundant number, since it is smaller than the sum of its proper divisors (746131018560).

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

285616493760 is a wasteful number, since it uses less digits than its factorization.

285616493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

It can be divided in two parts, 285616 and 493760, that added together give a triangular number (779376 = T₁₂₄₈).

The spelling of 285616493760 in words is "two hundred eighty-five billion, six hundred sixteen million, four hundred ninety-three thousand, seven hundred sixty".