10283161680 has 160 divisors (see below), whose sum is σ = 38639848320. Its totient is φ = 2492881920.

The previous prime is 10283161657. The next prime is 10283161687. The reversal of 10283161680 is 8616138201.

10283161680 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 31 + 616 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10283161687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192637 + ... + 240156.

It is an arithmetic number, because the mean of its divisors is an integer number (241499052).

Almost surely, 2^10283161680 is an apocalyptic number.

10283161680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10283161680 is an abundant number, since it is smaller than the sum of its proper divisors (28356686640).

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

10283161680 is a wasteful number, since it uses less digits than its factorization.

10283161680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432826 (or 432814 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 10283161680 its reverse (8616138201), we get a palindrome (18899299881).

The spelling of 10283161680 in words is "ten billion, two hundred eighty-three million, one hundred sixty-one thousand, six hundred eighty".