283672166400 has 540 divisors, whose sum is σ = 1161415043152. Its totient is φ = 64833454080.

The previous prime is 283672166387. The next prime is 283672166413. The reversal of 283672166400 is 4661276382.

283672166400 is a `hidden beast` number, since 2 + 83 + 6 + 7 + 2 + 166 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (283672166387) and next prime (283672166413).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25799304 + ... + 25810296.

Almost surely, 2^283672166400 is an apocalyptic number.

283672166400 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 283672166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580707521576).

283672166400 is an abundant number, since it is smaller than the sum of its proper divisors (877742876752).

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

283672166400 is a wasteful number, since it uses less digits than its factorization.

283672166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11044 (or 11010 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 283672166400 in words is "two hundred eighty-three billion, six hundred seventy-two million, one hundred sixty-six thousand, four hundred".